Grade 7 curriculum summary

1. Grade 7 curriculum summary

2. Number and Operation Sense • use models to express repeated multiplication using exponents • express numbers in expanded form so the place value of each digit is shown • write large numbers in scientific notation • develop and apply divisibility rules for 3, 4, 6, and 9 • solve and create problems that require finding common factors and the greatest common factor • solve and create problems that require finding common multiples and the least common multiple • estimate the sums and differences of fractions when appropriate • use mental mathematics to multiply whole numbers and fractions • use mental mathematics when working with decimals • change fractions to decimals and vice versa • compare and order fractions and decimals • use estimation to check reasonableness of answers • apply the order of operations for problems involving whole numbers and decimals • demonstrate number sense for percent • estimate and calculate solutions to percent problems • compare and order integers • use manipulatives and diagrams to develop the understanding of addition, subtraction, multiplication, and division of integers • add, subtract, multiply, and divide integers symbolically and be able to apply in problem solving

3. algebra and patterns • investigate and describe patterns using algebraic expressions, tables, and graphs • create and evaluate simple variable expressions • distinguish between like and unlike terms • add and subtract like and unlike terms • solve and check one- and two-step equations using systematic trial, manipulatives, and diagrams • graph linear equations using a table of values • construct and analyse graphs

4. geometry and measurement • recognize, name, describe, and construct polygons • use geometric thinking to explore regular polygons and their properties • use transformations or combinations of transformations to generate polygons • use geometric thinking to investigate regular and semi-regular tessellations • construct regular and semi-regular polyhedra and name the resulting solid • use geometric thinking to explore and apply angle relationships • use geometric thinking to do a variety of constructions • identify the minimum sufficient conditions needed to guarantee a specific type of triangle or quadrilateral • identify, use, and convert among SI units to solve problems • explore and analyse rates • construct and analyse graphs of rates • understand the relationships among diameter, radius, and circumference of a circle

5. Data management and probability • distinguish between biased and unbiased sampling • use appropriate methods to collect data • construct appropriate data displays • determine “averages”—mean, median, and mode • Identify situations whose probabilities of happening are near 0, ¼, ½, ¾, and 1 • use fractions, decimals, and percentages to describe probability • use experiments and simulations to explore and solve probability problems • calculate and compare theoretical and experimental probabilities