Target
number |
|
Target |
| 0 | I can… | |
| 0 | I can… | |
| 1a | I can… | recognise the natural numbers and the integers and can explain the difference between them. |
| 1b | I can… | identify where to place whole numbers, including negative numbers on a number line. |
| 1c | I can… | identify the place value of the digits in a number up to 1,000 |
| 2a | I can… | identify the place value of the digits in a number, including two decimal places |
| 2b | I can… | compare and order numbers with decimals |
| 2g | I can… | order decimals on a number line |
| 3 | I can… | round numbers to the nearest appropriate place value and do estimated calculations. |
| 3a | I can… | order fractions on a number line |
| 3a | I can… | round numbers to the nearest unit |
| 3b | I can… | round numbers to the nearest ten |
| 3c | I can… | round numbers to two or more decimal places |
| 3c | I can… | round numbers to the nearest hundred |
| 3d | I can… | round numbers to the nearest thousand |
| 3e | I can… | round numbers to the nearest tenth |
| 3f | I can… | round numbers to the nearest hundredth |
| 3g | I can… | round decimals to one decimal place and do estimated calculations. |
| 3h | I can… | round decimals to three decimal places and do estimated calculations. |
| 3i | I can… | round numbers to three significant places and do estimated calculations. |
| 4a | I can… | can use the inequality signs >, <, ?, ? and the not-equal sign ? |
| 4b | I can… | write and show inequalities on a number line |
| 4c | I can… | solve inequalities with one inequality sign |
| 4d | I can… | solve inequalities over a range, inequalities with two inequality signs |
| 5 | I can… | write a decimal as the sum of fractions, identifying the place value of each decimal place |
| 5a | I can… | use opposite values of integers |
| 5b | I can… | find the absolute value of integers |
| 7a | I can… | use the associative and commutative properties in my calculations |
| 7b | I can… | use the Distributive Property with numbers |
| 8 | I can… | use parentheses, exponents, multiplication, division, addition and subtraction in the correct order |
| 10a | I can… | add negative and positive numbers on a number line. |
| 10b | I can… | subtract negative and positive numbers on a number line. |
| 10c | I can… | add and subtract decimals |
| 11a | I can… | multiply a two-digit number by a two-digit number |
| 11b | I can… | multiply a three-digit number by a two-digit number using box multiplication |
| 11c | I can… | multiply decimals by whole numbers |
| 11d | I can… | multiply decimals by decimals |
| 11e | I can… | multiply negative and positive numbers. |
| 11f | I can… | multiply negative numbers by negative numbers. |
| 12a | I can… | divide a two-digit number by a two-digit number |
| 12b | I can… | divide a three-digit number by a two-digit number |
| 12c | I can… | divide negative and positive numbers. |
| 12d | I can… | divide decimals by whole numbers |
| 12e | I can… | divide decimals by decimals |
| 13a | I can… | multiply and divide by powers of 10 up to 100 in my head to estimate the answers to my calculations. |
| 13b | I can… | multiply and divide by powers of 10 up to 1,000 in my head to estimate the answers to my calculations. |
| 13c | I can… | multiply decimals by powers of 10 |
| 13d | I can… | divide decimals by powers of 10 |
| 14a | I can… | write the prime numbers up to 50 |
| 14b | I can… | find the prime factors of numbers up to 50. |
| 14c | I can… | write the prime numbers up to 101. |
| 14d | I can… | find the prime factors of numbers up to 101 |
| 14g | I can… | find the prime factors of numbers up to 101. |
| 14h | I can… | find the prime factors of integers up to 1,000. |
| 15 | I can… | find the Lowest Common Multiple of two numbers up to 100. |
| 15 | I can… | find the Lowest Common Multiple of three integers up to 100. |
| 15a | I can… | find multiples of numbers up to 100 |
| 15b | I can… | find the Lowest Common Multiple (LCM) of two numbers up to 20. |
| 15b | I can… | find the Lowest Common Multiple (LCM) of two numbers up to 50 |
| 15d | I can… | find the Lowest Common Multiple (LCM) of two or more numbers using prime factorization |
| 15k | I can… | find the Lowest Common Multiple of three or more integers up to 1,000. |
| 16a | I can… | find the factors of a number up to 100 |
| 16b | I can… | find the factors of a number up to 1000 |
| 16c | I can… | use the rules of divisibility to find factors |
| 16d | I can… | find the Greatest Common Factor (GCF) of two numbers up to 20. |
| 16e | I can… | find the Greatest Common Factor (GCF) of two numbers up to 100. |
| 16f | I can… | find the Greatest Common Factor (GCF) of three integers up to 100. |
| 16k | I can… | find the Greatest Common Factor (GCF) of three or more integers up to 1,000. |
| 17 | I can… | find the absolute value of a number. |
| 17 | I can… | use exponents and roots in my calculations |
| 17a | I can… | find the value of a number with an exponent and use exponents in calculations. |
| 17b | I can… | calculate the squares of integer numbers up to 10 in my head. |
| 17c | I can… | estimate the squares of integer numbers up to 1,000. |
| 17d | I can… | use the perfect square numbers to estimate the square roots of numbers |
| 17e | I can… | use repeated guess and check to estimate the square roots of numbers |
| 18a | I can… | express the portion of a whole as a fraction of parts of a whole |
| 18aa | I can… | identify the fractions in a shape divided into parts |
| 18b | I can… | find equivalent fractions |
| 18c | I can… | reduce or simplify fractions to their simplest or lowest forms |
| 18d | I can… | compare and order fractions |
| 18e | I can… | multiply fractions |
| 18f | I can… | divide fractions |
| 18g | I can… | add and subtract fractions by finding a common denominator |
| 18h | I can… | change a top-heavy improper fraction into a mixed number |
| 18i | I can… | change a mixed number into a top-heavy improper fraction |
| 18j | I can… | add, subtract, multiply and divide mixed numbers by changing them into improper fractions. I can write my answer as a mixed number. |
| 18k | I can… | write a fraction as the sum of two or more unit fractions (Egyptian fractions) |
| 19a | I can… | change a proper fraction into a decimal fraction |
| 19b | I can… | change a decimal fraction into a proper fraction or mixed number |
| 19c | I can… | write a decimal fraction as a percent and vice versa. |
| 19d | I can… | write a recurring or repeating decimal as a fraction |
| 20a | I can… | write a fraction as a percent. |
| 20a | I can… | write a percent as a fraction out of 100, and reduce it to its simplest terms |
| 20c | I can… | interchange fractions, decimals and percents |
| 21 | I can… | divide fractions. |
| 21 | I can… | use percentages in calculations |
| 21a | I can… | find the percent of an amount. |
| 21b | I can… | find one number as the percent of another number |
| 21c | I can… | find and use percent discounts and increases in problems |
| 21d | I can… | write problems as percent equations and use them to find base numbers, percents of amounts and the percent of one number of another. |
| 21e | I can… | solve word problems using percentages of amounts |
| 22 | I can… | compare proportions as ratios |
| 22a | I can… | compare two or more quantities in a given ratio |
| 22b | I can… | write the ratio of two or more quantities as fractions of a whole |
| 22c | I can… | write and solve a proportion equation involving a variable |
| 22c | I can… | use ratio and proportion to solve word problems |
| 22d | I can… | solve word problems involving ratios and proportions |
| 23 | I can… | identify if two number up to 100 have a common factor and use the distributive property |
| 25 | I can… | convert numbers from standard form to scientific notation and vice versa |
| 25a | I can… | write a very large ordinary number in scientific notation. |
| 25b | I can… | write a very large number written in scientific notation as an ordinary number. |
| 25c | I can… | write a very small ordinary number in scientific notation. |
| 25d | I can… | write a very small number written in scientific notation as an ordinary number. |
| 25e | I can… | compare numbers expressed in scientific notation, and sort them into order. |
| 26 | I can… | use scientific notation to do calculations with very large and very small numbers |
| 26a | I can… | multiply numbers in scientific notation |
| 26b | I can… | divide numbers written in scientific notation |
| 26c | I can… | add and subtract numbers written in scientific notation |
| 26d | I can… | use scientific notation to solve real-world problems and write my answer in scientific notation |
| 29 | I can… | construct a data set from an experiment |
| 29a | I can… | construct a frequency table, or tally chart, of data |
| 30 | I can… | find the mean, median, mode and quartiles of a set of data |
| 30a | I can… | calculate the mean of a data set |
| 30b | I can… | calculate the median of a data set |
| 30c | I can… | calculate the mode of a data set |
| 30d | I can… | calculate the quartiles and inter-quartile range of a data set |
| 30e | I can… | identify an outlier in a data set |
| 31 | I can… | create data displays |
| 31a | I can… | draw a dot plot from a table of data |
| 31b | I can… | do a stem and leaf picture of a list of numbers, and know how to use it to find the median, quartiles, extremes and mode of the data. |
| 31c | I can… | draw a bar graph from a table of data |
| 31d | I can… | draw a histogram from a table of data |
| 31e | I can… | use different bin widths in histograms |
| 31f | I can… | distinguish bar graphs from histograms |
| 31g | I can… | draw a box and whisker plot of a data set, identifying the the five-number summary: median, quartiles and extremes |
| 31h | I can… | use a histogram to find the approximate number of data items, the range and median of a data set |
| 31h | I can… | draw a scatter plot from a set of data |
| 31i | I can… | draw a pie chart from a table of data |
| 32 | I can… | interpret data from data displays |
| 32a | I can… | write and test an hypothesis, collecting and analyzing data |
| 32a | I can… | interpret, solve problems and draw conclusions from dot plots |
| 32b | I can… | interpret, solve problems and draw conclusions from stem and leaf plots |
| 32c | I can… | interpret, solve problems and draw conclusions from box and whisker plots |
| 32d | I can… | interpret, solve problems and draw conclusions from histograms |
| 32e | I can… | interpret, solve problems and draw conclusions from bar graphs |
| 32f | I can… | use data, data diagrams and interpretation to solve word problems |
| 35 | I can… | find and compare the probabilities of events |
| 35 | I can… | solve probability problems using fractions with different denominators |
| 35 | I can… | calculate the probability of an outcome from two events |
| 35 | I can… | draw a diagram to find the probability of an outcome from two events |
| 35 | I can… | draw a tree diagram to find the probability of an outcome from three events |
| 35 | I can… | draw a table to find the probability of an outcome from two events |
| 35 | I can… | find probabilities, knowing that the sum of probabilities is 1 |
| 35 | I can… | find probabilities of multiple events, without replacement |
| 35a | I can… | find the probability of a single event and express it as a fraction, decimal, percent or ratio |
| 35b | I can… | find the probability of two independent events, with replacement |
| 35b | I can… | plot a probability on a probability line |
| 35c | I can… | find the probability of an event not happening using the sum of all probabilities = 1 |
| 39c | I can… | multiply and divide by powers of 10 up to 1,000,000 in my head to estimate the answers to my calculations. |
| 45 | I can… | do unit conversions and use them to solve problems |
| 45a | I can… | draw lines to an accuracy of 1mm |
| 45a | I can… | use dimensional analysis to convert rates such as speed |
| 45c | I can… | draw angles to an accuracy of 1 degree |
| 45d | I can… | convert metric units of length to customary units, and vice versa |
| 45e | I can… | find equivalent lengths in centimeters, meters and kilometers |
| 45f | I can… | find equivalent lengths in inches, feet, yards and miles |
| 45g | I can… | convert metric units of area to imperial units, and vice versa |
| 45h | I can… | convert metric units of volume to customary units, and vice versa |
| 45i | I can… | find equivalent capacities using cups, pints, quarts and gallons |
| 45j | I can… | find equivalent speeds using metric units |
| 45k | I can… | find equivalent speeds using customary units |
| 45l | I can… | solve word problems using measures of length, area, volume and capacity |
| 46 | I can… | solve problems of length, area and volume |
| 46a | I can… | calculate the area of a rectangle from its dimensions |
| 46b | I can… | calculate a side of a rectangle if I know its area and the length of a perpendicular side |
| 46c | I can… | calculate the volume of a cuboid from the lengths of its sides |
| 46d | I can… | calculate the volume and surface area of a cuboid from the lengths of its sides |
| 46e | I can… | find the area of a triangle |
| 50 | I can… | write expressions from sentences |
| 51 | I can… | evaluate expressions given the values of the variables |
| 51a | I can… | work out the value of an expression with one variable using substitution |
| 51b | I can… | work out the value of an expression with more than one variable using substitution |
| 51c | I can… | evaluate expressions containing exponents |
| 51d | I can… | simplify expressions and evaluate using substitution |
| 51e | I can… | use the order of operations and calculation machines to evaluate expressions |
| 52 | I can… | simplify expressions by gathering like terms |
| 52a | I can… | simplify expressions containing one variable |
| 52b | I can… | simplify expressions containing more than one variable |
| 52c | I can… | simplify expressions containing variables with exponents |
| 52d | I can… | gather together like terms in algebra using one letter and numbers. |
| 52e | I can… | gather together like terms in algebra using two letters and numbers. |
| 52f | I can… | gather together like terms using one letter and the letter squared. |
| 52g | I can… | gather together like terms using two letters multiplied. |
| 52h | I can… | expand parentheses and gather together the like terms. |
| 52i | I can… | gather like terms involving positive exponents. |
| 53 | I can… | use the distributive property in expressions |
| 53 | I can… | solve equations by undoing, using inverse operations |
| 53a | I can… | use the distributive property and rectangle diagrams to factor expressions with one variable |
| 53a | I can… | solve equations by writing a simple sentence, one step, and undoing |
| 53b | I can… | use the distributive property to expand expressions with parentheses |
| 53b | I can… | solve an equation by writing a simple sentence, two steps, and undoing |
| 53c | I can… | recognize the order of operations for solving an equation |
| 53d | I can… | check the solution to an equation by substituting the answer into the original equation |
| 54 | I can… | solve equations with one variable and one step, keeping the equation balanced |
| 54a | I can… | solve equations with one step using addition or subtraction |
| 54b | I can… | solve equations with one step using multiplication or division |
| 54c | I can… | solve equations with one step using the reciprocal |
| 54d | I can… | solve word problems by writing and solving one-step equations |
| 55 | I can… | solve equations needing two steps, keeping the equation balanced |
| 55a | I can… | solve equations in two steps, add/subtract + multiplication |
| 55b | I can… | solve equations in two steps, add/subtract + division/reciprocal |
| 55c | I can… | solve word problems by writing and solving two-step equations |
| 56 | I can… | solve equations with the variable on both sides |
| 56a | I can… | solve equations containing parentheses with the variable on both sides |
| 56b | I can… | solve word problems by writing and solving equations with the variable on both sides |
| 56c | I can… | solve word problems with two variables |
| 56d | I can… | solve equations and word problems involving decimals |
| 57 | I can… | solve equations with multiple steps |
| 57a | I can… | solve equations with parentheses on one side of the equation |
| 57b | I can… | solve equations with parentheses on both sides of the equation |
| 58 | I can… | rearrange a simple formula or equation to make the subject a given variable |
| 58a | I can… | rearrange a simple formula or equation to make the subject a given variable, one step |
| 58b | I can… | rearrange a simple formula or equation to make the subject a given variable, two or more steps |
| 60 | I can… | plot the graph of the equation of a line |
| 60a | I can… | build a table of input and output values from an equation |
| 60b | I can… | identify/plot a point from its coordinates |
| 60c | I can… | identify the coordinates of points on a line |
| 61 | I can… | identify the y-intercept of a line |
| 61a | I can… | identify the y-intercept of a line from its graph |
| 61b | I can… | identify the y-intercept of a line from its equation |
| 62 | I can… | find the slope of the graph of a linear equation |
| 62a | I can… | find the slope of a line by counting squares |
| 62b | I can… | find the slope of a line using a slope triangle |
| 62c | I can… | find the slope of a line from the coordinates of two points that lie on the line |
| 62d | I can… | find the slope of a line from its equation |
| 62e | I can… | identify parallel lines from their slopes |
| 63 | I can… | write the equation of a line y = mx + b from its slope and its y-intercept |
| 63a | I can… | plot a line from its slope and y-intercept |
| 63b | I can… | match a line to its equation by identifying the slope and y-intercept |
| 63c | I can… | confirm whether a point lies on a line if I know the equation |
| 63d | I can… | write the equation of a line in slope-intercept form from tables or ordered pairs |
| 7475 | I can… | 86 |
| 98b | I can… | draw and label the x and y-axes of a coordinate plane, deciding the appropriate scales |
| 98c | I can… | plot x, y coordinates on a coordinate plane |
| 111 | I can… | multiply and divide rational expressions |
| 111 | I can… | write and use linear equations to solve real-world problems |
| 113 | I can… | solve linear inequalities by using addition and subtraction. |
| 114 | I can… | solve linear inequalities by using multiplication and division. |
| 115 | I can… | solve linear inequalities involving more than one operation. |
| 116 | I can… | graph linear inequalities in two variables. |
| 116a | I can… | find the Greatest Common Factor of a group of terms. |
| 116b | I can… | use the GCF, the distributive property, and grouping to factor polynomials. |
| 118m | I can… | write a repeating decimal as a fraction |
| 120b | I can… | recognise an arithmetic sequence from its graph |
| 121 | I can… | prove and apply the sum and difference identities |
| 124 | I can… | simplify an expression involving squares. |
| 125 | I can… | simplify an expression of degree 3. |
| 125 | I can… | use the distributive property, including with variables |
| 125a | I can… | use the distributive property to simplify and evaluate expressions containing parentheses |
| 125b | I can… | recognise a geometric sequence from its graph |
| 126 | I can… | simplify an expression of higher degree. |
| 127 | I can… | list the rules of indices. |
| 130 | I can… | add/subtract trinomials which include negative terms. |
| 130 | I can… | translate words into algebraic symbols |
| 131 | I can… | add and subtract rational expressions |
| 131 | I can… | simplify expressions by combining like terms |
| 131b | I can… | simplify expressions containing parentheses |
| 132 | I can… | multiply expressions with one term. |
| 133 | I can… | divide expressions with one term. |
| 134 | I can… | multiply a polynomial by a single term (monomial) |
| 135 | I can… | multiply two binomials using FOIL or smiley faces and combine like terms |
| 135 | I can… | find the factors of a monomial |
| 135a | I can… | rewrite an equation in standard form to slope-intercept form and vice versa |
| 135b | I can… | rewrite an equation in point-slope form into slope-intercept form |
| 135c | I can… | find the equation of a line given two coordinates on the line |
| 135d | I can… | find the equation of a line given its slope and one point on the line |
| 136 | I can… | solve a system of equations by graphing |
| 137 | I can… | add/subtract binomials which include only positive terms. |
| 138 | I can… | add/subtract binomials which include negative terms. |
| 139 | I can… | add/subtract trinomials which only include positive terms. |
| 141 | I can… | add/subtract polynomials which include negative terms. |
| 142 | I can… | identify the independent and dependent variables of a graph |
| 143 | I can… | identify the intercepts of a graph and the rates of change |
| 145 | I can… | graph a line given any linear equation. |
| 145 | I can… | can identify the rate of change of an equation from its graph and from the equation |
| 145a | I can… | find the slope and y-intercept of a line written in slope-intercept form, y = mx + b |
| 145b | I can… | write the equation of a line in slope-intercept form |
| 145c | I can… | identify the slope of a line written in slope-intercept form, y = mx + b |
| 145d | I can… | identify the y-intercept of a line written in slope-intercept form. y = mx + b |
| 145e | I can… | graph a linear equation from its slope and y-intercept. |
| 145f | I can… | re-write the equation of a line from slope-intercept form to standard form. |
| 145g | I can… | re-write the equation of a line from standard form to slope-intercept form. |
| 145h | I can… | find the slope of a linear graph from its equation |
| 145i | I can… | find the x- intercept of a linear graph from its equation. |
| 145j | I can… | graph a line from a table of values |
| 146 | I can… | write the equation of a line in point-slope form |
| 146a | I can… | find the slope of a line from the coordinates of two points on the line. |
| 146b | I can… | find if two lines are parallel by their slopes. |
| 146c | I can… | find the equation of a line passing through two given points |
| 146c | I can… | find the coordinates of a point on a line if I know the slope and one other point. |
| 146d | I can… | find if two lines are perpendicular by their slopes. |
| 146e | I can… | write the equation of a line passing through a given point, parallel to the graph of a given equation. |
| 146f | I can… | write the equation of a line passing through a given point, perpendicular to the graph of a given equation. |
| 147 | I can… | find the coordinates of the midpoint of a line between two points. |
| 147b | I can… | find the point-slope equation of a line with a given slope that passes through a given point |
| 148 | I can… | use equations and graphs of lines to explore word real-life problems |
| 148a | I can… | write the equation of a line from a story problem |
| 148b | I can… | write the equation of a line of best fit |
| 148c | I can… | write and use an equation to predict or describe an event |
| 150 | I can… | find the x and y values that will satisfy a system two linear of equations using tables |
| 150a | I can… | find the roots of a quadratic function from its graph |
| 150a | I can… | add polynomials |
| 150b | I can… | subtract polynomials |
| 150c | I can… | multiply or find powers of monomials |
| 151 | I can… | find the roots of a simple quadratic equation by factoring |
| 151 | I can… | multiply a polynomial by a monomial |
| 151b | I can… | multiply polynomials up to to degree 3 |
| 151c | I can… | multiply polynomials |
| 152a | I can… | divide monomials |
| 152b | I can… | divide a polynomial by a monomial |
| 156 | I can… | graph a system of two linear equations to find the solution |
| 157 | I can… | use the substitution method to solve a system of linear equations |
| 158 | I can… | use the elimination method to solve a system of equations |
| 158a | I can… | use elimination to solve a system of two linear equations, addition + subtraction |
| 158b | I can… | use elimination to solve a system of equations, using multiplication |
| 159 | I can… | use either substitution or elimination to solve a system of linear equations. |
| 159a | I can… | write and solve a system of equations from a simple word or picture problem |
| 159b | I can… | write a system of equations to solve a real-life problem |
| 159c | I can… | identify the variables and write and solve a system of linear equations from word problems. |
| 160 | I can… | compute with integer exponents and whole number roots |
| 160 | I can… | add and subtract trinomials |
| 161 | I can… | recognize positive exponents in algebraic expressions, know their meaning and evaluate them. |
| 161c | I can… | calculate the squares of integers up to 15 in my head |
| 161d | I can… | estimate the squares of integer numbers up to 100. |
| 162 | I can… | solve systems of inequalities |
| 162a | I can… | solve systems of inequalities by graphing |
| 163a | I can… | multiply terms (with the same base) with positive exponents. |
| 163b | I can… | divide terms (with the same base) with positive exponents. |
| 164 | I can… | do calculations with absolute values. |
| 165 | I can… | solve equations with absolute value expressions. |
| 165a | I can… | find the squares of natural numbers up to 15 |
| 165b | I can… | estimate the square roots of real numbers by trial and improvement. |
| 166 | I can… | estimate the roots of real numbers. |
| 166 | I can… | solve inequalities with absolute value expressions. |
| 169a | I can… | sketch the graph of a function from a simple word problem or description |
| 170 | I can… | write and graph inequalities that represent conditions that must be met simultaneously |
| 170a | I can… | replace the letters in algebra with whole numbers and work out the answer |
| 170a | I can… | identify the domain and range of a function. |
| 170b | I can… | identify independent and dependent variables in a function |
| 170b | I can… | replace the letters in algebra with positive and negative whole numbers and work out the answer |
| 170c | I can… | replace the letters in algebra with rational numbers and work out the answer |
| 172 | I can… | re-write sentences into numbers, letters and math symbols |
| 173 | I can… | recognize a monomial, a binomial, trinomial and polynomial |
| 178 | I can… | find the value of x in an equation by adding or subtracting to both sides of the equation, keeping the equation balanced. |
| 179 | I can… | find the value of x in an equation by multiplying or dividing. |
| 180 | I can… | find the value of x in an equation by multiplying or dividing as well as adding and subtracting. |
| 181 | I can… | move symbols, letters and numbers in an equation, always keeping the equation balanced to find the value of x in an equation with x's on both sides of the = sign |
| 184 | I can… | write a 1-step equation from a sentence and solve to find the unknown number. Addition/subtraction. |
| 185 | I can… | write a 1-step equation from a sentence and solve to find the unknown number. Multiplication/division. |
| 185 | I can… | put data into a 2 x 2 matrix |
| 186 | I can… | write a 2-step equation from a sentence and solve to find the unknown number. Addition/subtraction + multiplication/division. |
| 186 | I can… | add and subtract two 2 x 2 matrices |
| 187 | I can… | write an equation from a sentence that has the unknown number twice in the sentence and solve by balancing to find the unknown number. Addition/subtraction. |
| 188 | I can… | write an equation from a sentence that has the unknown number twice in the sentence and solve by balancing to find the unknown number. Multiplication/division. |
| 189 | I can… | write an equation from a sentence that has the unknown number twice in the sentence and solve by balancing to find the unknown number. Addition/subtraction + multiplication/division. |
| 189 | I can… | solve equations containing parentheses with a variable on both sides |
| 189 | I can… | change the subject of a formula, solve a formula for a given variable, with one or two steps |
| 189 | I can… | solve a linear equation using one step, + - * or / |
| 189 | I can… | solve a linear equation involving two steps, + or -, followed by * / or use of the reciprocal |
| 189 | I can… | solve an equation with the variable on both sides of the equation |
| 190 | I can… | solve equations by using the reciprocal of the fraction in front of the variable |
| 191 | I can… | change the subject of a formula on one or two steps |
| 197a | I can… | read numbers in a table and plot them on a line graph. |
| 197b | I can… | choose appropriate scales for the x and y axes of a graph and accurately draw them on graph paper |
| 198a | I can… | create a table with two variables |
| 198d | I can… | graph a linear equation by building a table of coordinates from input and output numbers. |
| 199 | I can… | use the distance formula to solve distance and rate problems |
| 201 | I can… | use complex numbers in calculations |
| 201a | I can… | explain how complex numbers relate to the set of Real numbers |
| 201b | I can… | identify the real and imaginary parts of a complex number |
| 201c | I can… | plot complex numbers on the complex plane |
| 201d | I can… | use complex numbers involving imaginary numbers, and find conjugate pairs |
| 201e | I can… | add, subtract and multiply complex numbers |
| 201f | I can… | multiply complex numbers using the grid method, recognizing i2 = ?1 |
| 201g | I can… | use conjugate pairs to divide complex numbers |
| 215 | I can… | use the laws of exponents |
| 215a | I can… | use zero exponents in expressions. |
| 215b | I can… | use the Product rule, multiplying exponents |
| 215c | I can… | use the Quotient rule, dividing exponents |
| 215d | I can… | use the Power rule, raise a product or quotient of exponents to a power |
| 215e | I can… | use negative exponents in expressions and re-write as positive exponents. |
| 215f | I can… | simplify expressions with exponents |
| 216 | I can… | use and interpret rational exponents |
| 216a | I can… | write a rational exponent as a radical and vice versa |
| 216b | I can… | simplify and use radicals by rationalizing the denominator |
| 216b | I can… | evaluate expressions written in rational exponents |
| 217 | I can… | use power functions to solve real world problems |
| 217a | I can… | distinguish a power function from an exponential function |
| 218 | I can… | use a logistic function to model growth in nature with a maximum capacity |
| 231 | I can… | identify and graph linear, quadratic, absolute-value and square root functions |
| 238 | I can… | explain the difference between power and exponential equations |
| 238a | I can… | solve power equations |
| 238b | I can… | solve exponential equations |
| 238c | I can… | solve exponential equations using exponentiation and taking logs |
| 239a | I can… | find the inverse of a relation and determine whether the inverse is a function |
| 239b | I can… | determine the domain of an inverse function |
| 239c | I can… | find the inverse of a function and apply inverse functions in real-world situations |
| 240 | I can… | model growth and decay using an exponential equation |
| 240a | I can… | use exponential functions to solve problems of growth and decay |
| 240b | I can… | write an exponential equation in point-ratio form |
| 241 | I can… | convert between exponential and logarithmic forms |
| 241a | I can… | can find a logarithmic function as the inverse of an exponential function, and vice versa |
| 242a | I can… | evaluate a logarithm to base 10 |
| 242b | I can… | evaluate a natural logarithm |
| 242c | I can… | evaluate simple logarithms in a variety of bases |
| 243 | I can… | use the properties of logarithms |
| 243a | I can… | plot a logarithmic scale (base 10) and use a slide rule |
| 243b | I can… | relate the properties of logarithms to the rules of exponents |
| 243c | I can… | use the properties of logarithms in multiplication and division calculations |
| 243d | I can… | use the product property of logarithms |
| 243e | I can… | use the quotient property of logarithms |
| 243f | I can… | use the power property of logarithms |
| 243g | I can… | simplify logarithms |
| 243h | I can… | expand logarithms |
| 244 | I can… | use the change of base property to express logarithms in different bases |
| 244 | I can… | find and use the mathematical constant e |
| 245 | I can… | use logarithms to solve real-world problems |
| 245a | I can… | use natural logarithms to solve real world problems |
| 245b | I can… | solve exponential equations using logarithms |
| 245d | I can… | use logarithms to solve interest rate problems |
| 245e | I can… | use logarithms to solve mortgage problems |
| 245f | I can… | use logarithms to solve population problems |
| 245g | I can… | use logarithms to solve radioactive decay problems |
| 245h | I can… | use logarithms to solve carbon-dating problems |
| 245i | I can… | use logarithms to solve earthquake problems |
| 245j | I can… | use logarithms to straighten data to help find an algebraic model |
| 246 | I can… | identify and factor perfect square trinomials. |
| 250 | I can… | plot a quadratic function and identify the vertex, zeros and axis of symmetry |
| 250d | I can… | identify the y-intercept of a quadratic function from its graph and from its equation. |
| 250g | I can… | solve word problems using the Quadratic Formula |
| 251 | I can… | find the roots of a quadratic function in standard form by factoring |
| 251a | I can… | factorize a perfect square trinomial (quadratic) into the square of a binomial |
| 251b | I can… | find the difference of two squares |
| 251c | I can… | find the factors of a trinomial ax2 + bx + c where a ? 1 |
| 251d | I can… | find the zeros of a quadratic function |
| 251e | I can… | use the zero product property to solve quadratic equations. |
| 252 | I can… | change a quadratic trinomial from standard form to vertex form by completing the square |
| 252a | I can… | identify the vertex from a quadratic written in vertex form |
| 252b | I can… | describe the translation of a quadratic function from the parent function f(x) = x2, from its function in vertex form |
| 252c | I can… | identify the vertex of a quadratic function by completing the square |
| 253 | I can… | solve a quadratic by finding factors, completing the square or using the Quadratic Formula |
| 253b | I can… | solve a quadratic by completing the square |
| 255 | I can… | solve a quadratic equation by using the quadratic formula |
| 255b | I can… | use the discriminant to identify the number and type of solutions of a quadratic |
| 255d | I can… | find the complex roots of quadratic equations using the quadratic formula |
| 255d | I can… | derive the quadratic formula by completing the square algebraically |
| 255e | I can… | solve real life word problems using the Quadratic Formula |
| 260a | I can… | relate a quadratic function to its roots, its parent function, its vertex and its relative extreme points |
| 261 | I can… | use the Distributive Property and rectangle diagrams for factoring polynomials |
| 261a | I can… | factor a polynomial as the product of its greatest monomial factor and another polynomial |
| 261b | I can… | find the roots of polynomial equations from factored form, using the zero-product property |
| 261c | I can… | change polynomials from general form to factored form using graphs |
| 262 | I can… | work with higher degree polynomials |
| 262a | I can… | find the degree of a higher degree polynomial |
| 262b | I can… | identify the extreme values of a higher degree polynomial |
| 262c | I can… | identify the turning points in a higher degree polynomial and relate them to the degree of the polynomial |
| 262d | I can… | describe the end behavior of a higher degree polynomial |
| 262e | I can… | divide higher degree polynomials using long division |
| 262f | I can… | change polynomials from general form to factored form using long or synthetic division |
| 262h | I can… | solve real life word problems involving higher degree polynomials |
| 262i | I can… | find rational zeros using the rational zero theorem |
| 263 | I can… | divide polynomials |
| 263b | I can… | divide polynomials using synthetic division |
| 285 | I can… | put data into a matrix and identify the elements |
| 285a | I can… | use matrices to represent polygons and transformations and store other data |
| 286 | I can… | add, subtract and multiply two or more matrices |
| 286 | I can… | multiply a matrix by a scalar |
| 286a | I can… | add and subtract matrices |
| 286b | I can… | multiply matrices |
| 286c | I can… | find the inverse [A]-1 of a matrix [A] |
| 286e | I can… | write an augmented matrix to represent a system of equations and solve a system of equations using row-reduction |
| 286f | I can… | find the determinant of a matrix and use it to solve real-world problems |
| 300 | I can… | use pictures, diagrams, charts, tables, and graphs as problem-solving tools |
| 301 | I can… | use 4 steps to solve a problem -- understand the problem, make a plan, carry out the plan, look back |
| 301b | I can… | explain how the set of real numbers contains the set of irrational numbers and the set of rational numbers. |
| 313 | I can… | use the unit circle to find the values of sine and cosine for various angles |
| 319a | I can… | create the Fibonacci sequence and investigate some of its wider properties |
| 320 | I can… | write formulas for recursive sequences |
| 320a | I can… | write a recursive formula to generate an arithmetic sequence, and use it to solve problems |
| 320b | I can… | relate recursive formulas for arithmetic sequences to explicit formulas and linear equations |
| 320c | I can… | write a recursive formula to generate a geometric sequence, and use it to solve problems |
| 320c | I can… | write a recursive formula for a geometric series |
| 320d | I can… | relate recursive formulas for geometric sequences to explicit formulas and exponential functions |
| 320e | I can… | write a recursive formula to generate a shifted geometric sequence |
| 320f | I can… | write a recursive routine/formula to model growth and decay and use it to solve problems |
| 320g | I can… | use graphs to check whether a recursive formula is a good model for data |
| 324 | I can… | write an explicit formula for an arithmetic series |
| 326 | I can… | write an explicit formula for a geometric series |
| 327 | I can… | use geometric sequences to model growth and decay |
| 329a | I can… | use shifted geometric sequences to model loans + investments, including compound interest, + other word problems |
| 330 | I can… | write explicit formulas to generate sequences and use them to solve problems |
| 330b | I can… | write an explicit formula to generate an arithmetic sequence |
| 330c | I can… | write an explicit formula to generate a geometric sequence |
| 331b | I can… | solve problems involving compound interest |
| 332 | I can… | calculate a median-median line and compare it to other lines of best fit |
| 333 | I can… | ls" |
| 334 | I can… | evaluate lines of best fit using residuals mean square error |
| 335 | I can… | use the root mean square error to find the error range |
| 340 | I can… | identify a graph that is discrete |
| 341 | I can… | identify a graph that is continuous |
| 341a | I can… | write a perfect square trinomial as the square of a binomial |
| 341b | I can… | write a trinomial as the sum of a square binomial plus an integer, completing the square. |
| 348 | I can… | identify a higher-degree polynomial degree, its roots, extreme values and end behavior. |
| 349 | I can… | identify roots and extreme values in higher degree polynomials |
| 349a | I can… | use the binomial theorem and Pascal’s triangle to expand binomials |
| 350 | I can… | find variance and standard deviation by formula and by calculator |
| 352 | I can… | write an explicit formula to generate a geometric sequence |
| 354 | I can… | solve power equations |
| 355 | I can… | find the percentile rank of a data item from raw data or a histogram |
| 355 | I can… | connect percentile rank and standard deviation |
| 355 | I can… | find the line of best fit of a data set and use it make predictions through interpolation and extrapolation |
| 367 | I can… | distinguish conceptually and graphically between functions and relations |
| 367 | I can… | distinguish conceptually and graphically between functions and relations |
| 367 | I can… | identify a function and use basic function notation |
| 367a | I can… | draw diagrams to illustrate functions and relations which are not functions |
| 367b | I can… | sketch a qualitative graph of a real-world scenario which is a function and describe a possible real-world scenario represented by a graph of a function |
| 368 | I can… | use the inverse operations of powers and roots to solve problems |
| 368 | I can… | do operations with functions using function notation, addition/subtraction and multiplication/division, sub |
| 370e | I can… | write and graph a piecewise function |
| 371a | I can… | recognize how translations of the graphs of functions affect their equations |
| 371b | I can… | recognize how reflections of the graphs of functions affect their equations |
| 371c | I can… | recognize how stretches or shrinks of the graphs of functions affect their equations |
| 371d | I can… | recognize from the equation of a function how the graph of its parent function is transformed by translation, reflection, stretch or shrink |
| 371f | I can… | apply transformations -- translation, reflections, stretches and shrinks -- to the graphs of functions and relations |
| 372 | I can… | compose functions and find the output for a given input. |
| 372a | I can… | find the domain of a composition of functions |
| 372b | I can… | use the composition of functions to solve real-world problems |
| 372c | I can… | recognize and explain the difference between even and odd functions |
| 373 | I can… | sketch the graph of an absolute value function. |
| 373a | I can… | identify the vertex of an absolute value function from its equation. |
| 374 | I can… | use finite differences and systems of equations to find a polynomial function that fits a data set |
| 375 | I can… | find the zeros of a polynomial, the x intercepts of its graph and the roots of the equation |
| 390 | I can… | use a third variable, such as t, to write parametric equations that separately define x and y |
| 391 | I can… | simulate motion on a calculator screen |
| 392 | I can… | convert between parametric equations and single equations using only x and y |
| 393 | I can… | define and use the trigonometric ratios sine, cosine and tangent |
| 397 | I can… | use trig ratios and parametric equations to model and solve motion problems |
| 420 | I can… | prove and apply the pythagorean identities |
| 440 | I can… | convert between a general quadratic equation and the standard form of the equation of a conic section |
| 449b | I can… | divide polynomials using long division |
| 449c | I can… | divide polynomials using synthetic division |
| 488 | I can… | change polynomials from general form to factored form using the rational root theorem |
| 494 | I can… | use the law of cosines to find unknown side lengths and angle measures in a right triangle |
| 495 | I can… | use the law of sines to find unknown side lengths and angle measures in a right triangle |
| 496 | I can… | use trig ratios and parametric equations to model and solve projectile problems |
| 498 | I can… | derive and apply the distance formula |
| 500 | I can… | derive and use the rectangular equation of a circle |
| 501 | I can… | derive and use the parametric equation of a circle |
| 502 | I can… | derive and use the rectangular equation of an ellipse |
| 503 | I can… | derive and use the parametric equation of an ellipse |
| 504 | I can… | organize information |
| 504 | I can… | derive and use the rectangular equation of an parabola |
| 505 | I can… | use dimensional analysis |
| 505 | I can… | derive and use the parametric equation of an parabola |
| 506 | I can… | derive and use the rectangular equation of an hyperbola |
| 507 | I can… | derive and use the parametric equation of an hyperbola |
| 509 | I can… | find the graph of a rational function from its equation, and vice versa |
| 512 | I can… | convert between angle measure in degrees and radians |
| 514 | I can… | find the period of a data set or sinusoidal function from an equation or graph |
| 515 | I can… | find the amplitude of a data set or sinusoidal function from an equation or graph |
| 516 | I can… | find the phase shift of a data set or sinusoidal function from an equation or graph |
| 517 | I can… | find the vertical translation of a data set or sinusoidal function from an equation or graph |
| 518 | I can… | find the average value of a data set or sinusoidal function from an equation or graph |
| 519 | I can… | use a graph to help find solutions to inverse trigonometric functions |
| 522 | I can… | combine sinusoidal graphs to create periodic functions |
| 523 | I can… | write a recursive formula for an arithmetic series |
| 527 | I can… | use formulas to find the partial sums of arithmetric and geometric series |
| 528 | I can… | determine when a geometric series converges and find its sum |
| 529 | I can… | calculate geometric probabilities |
| 600 | I can… | |
| 600 | I can… | |
| 600 | I can… | |
| 600 | I can… | |
| 600 | I can… | |
| 600 | I can… | |
| 600a | I can… | complete a CIM worksample, Algebraic Relationships 1 |
| 600b | I can… | complete a CIM worksample, Algebra Relationships 2 |
| 600c | I can… | complete a CIM worksample, Geometry 1 |
| 600d | I can… | complete a CIM worksample, Statistics & Probability 1 |
| 600d | I can… | complete a CIM worksample, Geometry 2 |
| 600e | I can… | complete a CIM worksample, Statistics & Probability 2 |
