Copy of Math 7/8 UNITS - semester 1

	B	E	H
1	Unit 1 Numerical Relationships	Unit 2 Ratios, Proportional Reasoning, and Solving Equations	Unit 3 Geometric Relationships
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3	Operations with Positive and Negative Numbers	Linear Algebraic Expressions	Properties of Transformations
4	order of operations	combine like terms	Use transformation vocabulary and notation, e.g., image, pre-image, A, A'.
5	equivalent expressions	order of operations	Define and categorize the types of transformations
6		equivalent expressions
7	Converting between Forms of Numbers	use distributive property and factor expressions	Congruent 2-D Figures
8	subtraction: "change directions"		Definition of congruent figures
9	integers	Equations and Inequalities	Coordinate Transformations
10	absolute value	Equations	Describe the effect of transformations on two-dimensional figures using coordinates.
11	properties of addition: commutative, associative, additive identity, additive inverse	Construct and solve multi-step equations with variables on one side, and determine the reasonableness of solution(s).	Explore the relationships between the coordinates of figures before and after transformations.
12	adding and subtracting positive and negative integers	Define variables in context using appropriate units.
13		Inequalities	Similar 2-D Figures
14	Operations with Rational Numbers	Construct and solve multi-step inequalities with variables on one side	Definition of similar figures
15	Multiplying and dividing positive and negative numbers	Inequalities have infinitely many solutions.	Definition of dilations
16	convert rational numbers to decimals	Solutions to inequalities can be represented on number line diagrams.
17	terminating vs repeating decimal		Angles from Parallel Lines and from Triangles
18	terminating vs non-terminating decimal	Ratios and Unit Rates	Explore the angle relationship between an exterior angle and the two remote interior angles of the triangle.
19	properties of multiplication: commutative, associative, identity, inverse, distributive, zero product	A unit rate is a comparison of two quantities where the second quantity (denominator) is one.	Investigate relationships of pairs of angles created by parallel lines cut by a transversal using transformations.
20	interpret sums and differences in real world	A rate can be written as a complex fraction which can be used to find the unit rate.
21	multiplication and division of rational numbers	Compute and compare unit rates of two rational numbers, including complex fractions, in a real-world context.	Pythagorean Theorem and its Converse
22			Investigate, generalize, and apply the Pythagorean theorem and its converse
23	Systems of Numbers: Rational vs Irrational	Proportional Relationships	Identify the legs and hypotenuse of a right triangle
24	square and cube roots	Represent proportional relationships in various formats including tables, graphs, diagrams, verbal descriptions, and equations.	Use the Pythagorean Theorem to determine if a triangle is a right triangle.
25	perfect squares and cubes vs non-perfect	Identify the constant of proportionality (unit rate).	Recognize that the distance between two coordinate points can be the length of the hypotenuse of a right triangle and apply the Pythagorean Theorem to find the distance between two points in the coordinate plane
26	approximate location of irrational numbers on number line	Determine if a relationship is proportional by using graphing, unit rates, scale factors, and other strategies.
27			Volume of Cones, Cylinders, and Spheres
28		Proportions: Ratios and Percents	Compare the formulas for volume.
29		Understanding of proportional relationships is crucial to this standard. Many of the examples could be classified as either percent increase or decrease with the exception of percent error and simple interest.	Given the volume, find the radius, diameter, height, or area of the base.
30			Given the dimensions, find the volume.
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