Mathematics · 2017 framework
Lessons
- 01Construct and interpret scatter plots to describe patterns of associationExplanation · illustration · worked examples · practice and answers
- 02Fit a straight line to a linear scatter plot and judge how well it fitsExplanation · illustration · worked examples · practice and answers
- 03Use a linear model to solve problems and interpret its slope and intercept in contextExplanation · illustration · worked examples · practice and answers
- 04Construct two-way tables for categorical data and use relative frequencies to describe associationExplanation · illustration · worked examples · practice and answers
- 05Decide whether a rule, table or graph is a function and describe its graph as ordered pairsExplanation · illustration · worked examples · practice and answers
- 06Compare the rate of change and initial value of two functions given as a table, graph, equation or descriptionExplanation · illustration · worked examples · practice and answers
- 07Interpret y = mx + b as a linear function with a straight-line graph, and recognize functions that are not linearExplanation · illustration · worked examples · practice and answers
- 08Construct a linear function from a description, two points, a table or a graph, and interpret its rate of change and initial valueExplanation · illustration · worked examples · practice and answers
- 09Describe a functional relationship qualitatively from its graph and sketch a graph from a verbal descriptionExplanation · illustration · worked examples · practice and answers
- 10Graph proportional relationships and read the unit rate as the slopeExplanation · illustration · worked examples · practice and answers
- 11Use similar triangles to explain constant slope and derive y = mx and y = mx + bExplanation · illustration · worked examples · practice and answers
- 12Solve linear equations in one variable and classify them as having one, no, or infinitely many solutionsExplanation · illustration · worked examples · practice and answers
- 13Solve linear equations with rational coefficients by expanding and collecting like termsExplanation · illustration · worked examples · practice and answers
- 14Solve pairs of simultaneous linear equations by graphing and by inspectionExplanation · illustration · worked examples · practice and answers
- 15Solve real-world and mathematical problems that lead to pairs of linear equationsExplanation · illustration · worked examples · practice and answers
- 16Analyze and justify an area-rearrangement proof of the Pythagorean Theorem and its converseExplanation · illustration · worked examples · practice and answers
- 17Apply the Pythagorean Theorem to find unknown side lengths in two and three dimensionsExplanation · illustration · worked examples · practice and answers
- 18Apply the Pythagorean Theorem to find the distance between two points in a coordinate systemExplanation · illustration · worked examples · practice and answers
- 19Solve real-world and mathematical problems involving volumes of cylinders, cones and spheresExplanation · illustration · worked examples · practice and answers
- 20Classify real numbers as rational or irrational using their decimal expansionsExplanation · illustration · worked examples · practice and answers
- 21Approximate irrational numbers with rationals to compare, locate and estimate themExplanation · illustration · worked examples · practice and answers
- 22Apply the properties of integer exponents, including zero and negative exponents, to generate equivalent expressionsExplanation · illustration · worked examples · practice and answers
- 23Use square root and cube root symbols to solve x² = p and x³ = p and evaluate roots of perfect squares and cubesExplanation · illustration · worked examples · practice and answers
- 24Estimate very large and very small quantities as a single digit times a power of 10 and compare their sizesExplanation · illustration · worked examples · practice and answers
- 25Perform operations in scientific notation, choose units of appropriate size and interpret technology outputExplanation · illustration · worked examples · practice and answers
- 26Verify experimentally that rotations, reflections and translations preserve lengths, angles and parallel linesExplanation · illustration · worked examples · practice and answers
- 27Show two figures are congruent by describing a sequence of rotations, reflections and translationsExplanation · illustration · worked examples · practice and answers
- 28Describe the effect of dilations, translations, rotations and reflections on figures using coordinatesExplanation · illustration · worked examples · practice and answers
- 29Show two figures are similar by describing a sequence of rigid motions and a dilationExplanation · illustration · worked examples · practice and answers
- 30Argue informally about triangle angle sums, exterior angles, parallel lines cut by a transversal and the angle-angle criterionExplanation · illustration · worked examples · practice and answers