## Grade 7CIn this compacted Grade 7 course, students will learn all of the grade 7 course material as well as half of Grade 8 content. Please see the "Grade 7" and "Grade 8" descriptions for more information.
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## Scope & Sequence7.1 Rational NumbersIn this unit, students explore adding and subtracting integers with models, number lines, and arithmetic. They generalize these integer rules and extend them to all rational numbers. Next they use number lines and multiplication patterns to find products and quotients of rational numbers. Properties of addition are reviewed and then used to prove rules for addition, subtraction, multiplication, and division.
7.2 Proportional RelationshipsIn this unit, students use real-life situations to explore proportional relationships using tables, equations, and graphs. They realize that a proportional relationship is represented on a graph as a straight line that passes through the origin and that there are straight-line graphs that do not represent a proportional relationship. They next look at rates expressed as fractions, nding the unit rate (the constant of proportionality) and then using the constant of proportionality to solve a problem. In the second part of the unit, students work with percentages. First, percentages are tied to proportional relationships, and then students examine percentage situations as formulas, graphs, and tables. Students explore salary increase, see the similarities with sales taxes, and then go on to explore percent decrease. 7.3 Constructions and AnglesIn this unit, students define adjacent, supplementary, complementary, and vertical angles and then explore how they are manifested in quadrilaterals. Next, students explore triangles and their properties with certain known and unknown elements. Through exploration, students discover that the sum of the measure of the interior angles of a triangle is 180° and that the sum of the measures of the interior angles of a quadrilateral is 360°. They explore other polygons to find their angle sum and determine if there is a relationship to the angle sum of triangles. This extends to finding the measure of the interior angles of regular polygons and speculating about how this relates to a circle. 7.4 Zooming In On FiguresIn this unit, students extend their learning about polygons and circles. They will compare circles with regular polygons and come up with area formulas, learn about three-dimensional figures, and explore the relationship between two-dimensional and three-dimensional shapes. Students will apply this knowledge to design and build model buildings. At the end of the unit, the buildings will be combined to make a model city.
7.5 Algebraic ReasoningIn this unit, extend their learning about expressions and equations. They will write, evaluate, and simplify expressions that contain positive and negative numbers. Students will write algebraic expressions and equations to represent situations and then solve them using formal algebraic methods and number properties. Students will learn how linear inequalities are different from linear equations, they will use inequalities to represent real-life situations, and they will find solutions to these problems by writing and solving inequalities.
7.6 Samples and ProbabilityIn this unit, students work with line plots, box plots, and measures of center and spread. They use these tools to compare similar data sets and learn to use random samples to generalize about a population. Students will learn the difference between simple probability, compound events, and experimental versus theoretical probability. 8.2 Roots and Exponents Overview In this unit, students learn about square roots and cube roots and how to apply properties of exponents to simplify expressions and solve equations. They learn how to solve problems with very large or very small numbers using scientific notation, and then they extend their knowledge to work with rational and irrational numbers. 8.3 Transformations Overview - CURRENT UNITEvery day, you see objects that move through space, spin around, or are mirrored images. These are examples of translations, rotations, and reflections—three basic components of transformations. When objects are shrunken or expanded, think model train or billboard image, this is called a dilation. Transformations can also be done to objects on a coordinate plane. They can be moved, rotated, mirrored, or dilated. Triangles are particularly useful objects to transform since triangle similarity can be used to find missing measurements of real- world objects.
8.6 Triangles and BeyondIn this unit, students will think about geometry through the art of M. C. Escher. Escher’s art can display creative uses for aspects of geometry, including parallel lines, triangles, and spheres. Then they will look at parallel lines cut by a transversal and the related angles they create, understand and apply the Pythagorean Theorem, expand on these, and then develop the relationships among the volumes of cylinders, cones, and spheres. |