Curriculum Overview
In Grade 7, math instructional time will focus on four critical areas and five standards:
STANDARD 1 – THE NUMBER SYSTEM
Students develop a unified understanding of numbers, recognizing fractions, decimals (that have a finite or a repeating decimal representation) and percents as different representations of rational numbers. Students extend addition, subtraction, multiplication and division to all rational numbers, maintaining the properties of operations and the relationships between addition and subtraction, multiplication and division. By applying these properties and by viewing negative numbers in terms of everyday contexts (i.e. amounts owed or temperatures below zero), students explain and interpret the rules for adding subtracting, multiplying and dividing with negative numbers. The arithmetic of rational numbers is used as students formulate expressions and equations to solve problems.
STANDARD 2 – RATIOS AND PROPORTIONAL RELATIONSHIP
Students extend their understanding of ratios and develop understanding of proportionality to solve a wide variety of percent problems, including those involving discounts, interests, taxes, tips and percent increase or decrease. Students solve problems about scale drawings by relating corresponding lengths between the objects or by using the fact that relationships of lengths within an object are preserved in similar objects. Students graph proportional relationships and understand the unit rate informally as a measure of the steepness of the related line called slope. They distinguish proportional relationships from other relationships.
STANDARD 3 – EXPRESSION AND EQUATIONS
Students continue their understanding of the use of variables in mathematical expressions that were introduced in Grade 6. They continue to write expressions and equations and continue to use properties of operations to generate equivalent expressions. Students learn to solve multi-step, real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions and decimals) using tools strategically. Students also learn to use variables to represent quantities in a real-world or mathematical problem and construct simple equations and inequalities to solve problems by reasoning about the quantities.
STANDARD 4 – GEOMETRY
Students expand their knowledge from Grade 6, solving problems involving the area and circumference of a circle and surface area of three-dimensional objects. In preparation for work in congruence and similarity in Grade 8, they reason about relationships among two-dimensional figures using scale drawings and informal geometric constructions and they gain familiarity with the relationships between angles formed by intersecting lines. Students work with three-dimensional figures, relating them to two-dimensional figures by examining cross-sections. They solve real-world and mathematical problems involving area, surface areas and volume of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes and right prisms.
STANDARD 5 – STATISTICS AND PROBABILITY
Students build on their previous work with single data distributions to compare two data distributions and address questions about differences between populations. Students understand that statistics can be used to gain information about a population by examining a sample population. Students also understand they may use data from a random sample to draw inferences about a population with an unknown characteristic of interest. They also realize and understand how to draw informal comparative inferences about a population with an unknown characteristic of interest. They also realize and understand how to draw informal comparative inferences about two populations. They investigate chance processes and develop, use and evaluate probability models.
- Developing understanding of and applying proportional relationships;
- Developing understanding of operations with rational numbers and working with expressions and linear equations;
- Solving problems involving scale drawings and informal geometric constructions and working with two- and three-dimensional shapes to solve problems involving area, surface area and volume;
- Drawing inferences about populations based on samples.
STANDARD 1 – THE NUMBER SYSTEM
Students develop a unified understanding of numbers, recognizing fractions, decimals (that have a finite or a repeating decimal representation) and percents as different representations of rational numbers. Students extend addition, subtraction, multiplication and division to all rational numbers, maintaining the properties of operations and the relationships between addition and subtraction, multiplication and division. By applying these properties and by viewing negative numbers in terms of everyday contexts (i.e. amounts owed or temperatures below zero), students explain and interpret the rules for adding subtracting, multiplying and dividing with negative numbers. The arithmetic of rational numbers is used as students formulate expressions and equations to solve problems.
STANDARD 2 – RATIOS AND PROPORTIONAL RELATIONSHIP
Students extend their understanding of ratios and develop understanding of proportionality to solve a wide variety of percent problems, including those involving discounts, interests, taxes, tips and percent increase or decrease. Students solve problems about scale drawings by relating corresponding lengths between the objects or by using the fact that relationships of lengths within an object are preserved in similar objects. Students graph proportional relationships and understand the unit rate informally as a measure of the steepness of the related line called slope. They distinguish proportional relationships from other relationships.
STANDARD 3 – EXPRESSION AND EQUATIONS
Students continue their understanding of the use of variables in mathematical expressions that were introduced in Grade 6. They continue to write expressions and equations and continue to use properties of operations to generate equivalent expressions. Students learn to solve multi-step, real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions and decimals) using tools strategically. Students also learn to use variables to represent quantities in a real-world or mathematical problem and construct simple equations and inequalities to solve problems by reasoning about the quantities.
STANDARD 4 – GEOMETRY
Students expand their knowledge from Grade 6, solving problems involving the area and circumference of a circle and surface area of three-dimensional objects. In preparation for work in congruence and similarity in Grade 8, they reason about relationships among two-dimensional figures using scale drawings and informal geometric constructions and they gain familiarity with the relationships between angles formed by intersecting lines. Students work with three-dimensional figures, relating them to two-dimensional figures by examining cross-sections. They solve real-world and mathematical problems involving area, surface areas and volume of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes and right prisms.
STANDARD 5 – STATISTICS AND PROBABILITY
Students build on their previous work with single data distributions to compare two data distributions and address questions about differences between populations. Students understand that statistics can be used to gain information about a population by examining a sample population. Students also understand they may use data from a random sample to draw inferences about a population with an unknown characteristic of interest. They also realize and understand how to draw informal comparative inferences about a population with an unknown characteristic of interest. They also realize and understand how to draw informal comparative inferences about two populations. They investigate chance processes and develop, use and evaluate probability models.
Notes Pertaining to Current Unit of Study
l8-4_volume_of_prisms.pdf | |
File Size: | 500 kb |
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l8-5_volume_of_pyramids.pdf | |
File Size: | 4794 kb |
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l8-6_surface_area_of_prisms.pdf | |
File Size: | 395 kb |
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Fraction, Decimal, Percent Equivalents Chart
fraction_decimal_percent_chart.pdf | |
File Size: | 355 kb |
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