Instructional. Essential Standards. Materials. Envision Topic 1 1-1; 1-2; 1-3; 1-4. Envision Topic 2 2-2; 2-3. Envision Topic 2 2-4; 2-5; 2-6

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1 Time Frame Period 1 Dates: Sept.4 Oct.26 Big Idea/Topic Essential Standards NS1.1 Estimate, round, and manipulate very large and very small numbers. Materials Envision Topic 1 1-1; 1-2; 1-3; 1-4 Envision Topic 2 2-2; 2-3 Academic Vocabulary Digits, Value, Expanded form, Standard form, Word form, Rounding, Equivalent decimals Optional Assessment 1 (e.g. Form A, Common Core Connections NS2.1 Add, Subtract, Multiply, Divide with decimals; add with negative integers; subtract positive integers from negative integers and verify the reasonableness of the results Envision Topic 2 2-4; 2-5; (e.g. Form A, NS1.0 Students compute with very large and very small numbers, positive integers, decimals, and fractions and understand the relationship between decimals, fractions, and percents. They understand the relative magnitudes of numbers. Envision Topic 3 3-3; 3-4; 3-5; 3-6 Squared, Cubed, Exponential Notation, Standard Form, Expanded Form, Products, Base, Exponent 3 (e.g. Form A, NS2.2 Demonstrate proficiency with division, including division with positive decimals and long division with multi-digit divisors. Dividend, Divisor, Quotient, Remainder 4 (e.g. Form A,

2 NS2.1 Add, Subtract, Multiply, Divide with decimals; add with negative integers; subtract positive integers from negative integers and verify the reasonableness of the results. Envision Topic 4 4-1; 4-4; 4-5; 4-6; (e.g. Form A, NS2.2 Demonstrate proficiency with division, including division with positive decimals and long division with multi-digit divisors. Envision Topic 6 6-1; 6-2; 6-3; 6-4; 6-5; (e.g. Form A, NS1.4 Determine the prime factors of all numbers through 50 and write the numbers as the product of their prime factors by using exponents to show multiples of a factor. Envision Topic 7 7-1; 7-2; 7-3; 7-4 Factor Pair, Divisible, Prime Numbers, Composite Numbers, Prime Factorization, Factor Tree, Common Factor, GCF 9 (e.g. Form A, Envision Topic 9 9-1; 9-2; 9-3; 9-4

3 Benchmark 1 Period 2 Dates: Nov.5 Jan.11 Number Sense NS1.5 Identify and represent on a number line decimals, fractions, mixed numbers, and positive & negative integers. Envision Topic ; 10-2; 10-3; 10-4; Fraction, Numerator, Denominator, Mixed Number, Improper fraction, Simplest Form, 10 B, Free NS2.4 Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form for a fraction). Envision Topic ; 10-6; 10-7; 10-8 Envision Topic ; 12-2; 12-3; 12-4 Multiple, Common Multiple, LCM, 12 (e.g. Form A, NS2.3 Solve simple problems including ones arising in concrete solutions, involving the addition and subtraction of fractions and mixed numbers (like and unlike denominators of 20 or less), and express answers in the simplest form. Envision Topic ; 11-2; 11-3; 11-4; 11-5; 11-6; 11-7 Reciprocals, Multiplicative Inverses 11 (e.g. Form A,

4 Benchmark 2 Period 3 Dates: Jan.21 Mar.28 Measurem ent and Geometry MG2.1 Measure, identify, and draw angles, perpendicular and parallel lines, rectangles, and triangles by using appropriate tools (e.g., straightedge, ruler, compass, protractor, drawing software). MG2.2 Know that the sum of the angles of any triangle is 180 and the sum of the angles of any quadrilateral is 360 and use this information to solve problems. NS1.5 Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. NS2.1 Add, subtract, multiply, divide with decimals; add with negative integers; subtract positive Envision Topic 8 8-1; 8-2; 8-3 Envision Topic 8 8-4; ; 15-2; ; 15-5 Point, Line, Plane, Line Segment, Ray, Parallel Lines, Intersecting Lines, Perpendicular Lines, Acute angle, Angle, Right angle, Obtuse angle, Straight angle, Degrees, Protractor, Polygon, Regular polygon, Triangle, Quadrilateral, Pentagon, Hexagon, Octagon Equilateral triangle, Isosceles triangle, Scalene triangle, Right triangle, Acute angle, Obtuse triangle, Parallelogram, Trapezoid, Rhombus, Square Integers 8 (e.g. Form A, 8 (e.g. Form A, 15 B, Free

5 integers from negative integers and verify the reasonableness of the results. Algebraic Functions AF1.2 Use a letter to represent an unknown number; write and evaluate simple algebraic expressions in one variable by substitution. AF1.3 Know and use the distributive property in equations and expressions with variables. AF1.4 Identify and graph ordered pairs in the four quadrants of the coordinate plane. SADP1.5 Know how to write ordered pairs correctly; for example, (x,y). AF1.5 Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid. SDAP1.4 Identify ordered pairs of data from a graph and interpret the meaning of the data 15-6 Envision Topic ; 16-5 Envision Topic 5 5-1; 5-2; 5-3 Envision Topic 5 5-4; ; 18-2 Topic 18-1 Variable, Algebraic Expression, Distributive Property, Order of Operations Coordinate Grid, Ordered pair, Coordinate plane, X- Axis, Y-Axis, Origin, X-Coordinate, Y- Coordinate, Table of Values, Linear Equation Table of Values, Envision Test Topics 15, 16, & 5 B, Free 18 B, Free

6 in terms of the situation depicted by the graph Linear Equations 18 B, Free Statistics Data And Probability NS1.2 Interpret percents as part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. MG1.4 Differentiate between and use appropriate units of measures for, two-and-three dimensional objects (i.e., find perimeter, area, volume) 18-2; 18-4 Envision Topic ; 17-2; 17-3; 17-4 Data, Line, Graph, Trend Equal ratios, Ratio, Percent 18 B, Free 17 B, Free Measurement & Geometry MG1.1 Derive and use the formula for the area of a triangle and of a parallelogram by comparing it with the formula for the area of a rectangle (i.e., two of the same triangles make a parallelogram with twice the area; Envision Topic ; 13-2; 13-3

7 Measurement & Geometry a parallelogram is compared with a rectangle of the same area by cutting and pasting a right triangle on the parallelogram). MG2.3 Visualize and draw two-dimensional views of threedimensional objects made from rectangular solids. MG1.2 Construct a cube and rectangular box from twodimensional patterns and use these patterns to compute the surface area for these objects. Envision Topic ; 13-5; 13-6 Millimeter, Centimeter, Meter, Kilometer, Perimeter, Formula, Area, Base, Height 13 B, Free 13 B, Free MG1.3 Understand the concept of volume and use the appropriate units in common measuring systems (i.e., cubic centimeter [cm 3], cubic meter [m3], cubic inch [in 3], cubic yard [yd3]) to compute the volume of rectangular solids. Envision Topic ; 14-2; 14-3; 14-4 Solid figure, Faces, Cube, Edge, Vertex, Prism, Cylinder, Cone, Pyramid, Net, Surface Area, Volume 14 B, Free Envision Test

8 Period 3 Dates: Jan.21 Mar.28 NS1.5 Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers. NS2.1 Add, subtract, multiply, divide with decimals; add with negative integers; subtract positive integers from negative integers and verify the reasonableness of the results. 15-1; 15-2; ; 15-5 Integers 15 B, Free Algebraic Functions AF1.2 Use a letter to represent an unknown number; write and evaluate simple algebraic expressions in one variable by substitution. AF1.3 Know and use the distributive property in equations and expressions with variables. AF1.4 Identify and graph ordered pairs in the four quadrants of the coordinate plane Envision Topic ; 16-5 Envision Topic 5 5-1; 5-2; 5-3 Variable, Algebraic Expression, Envision Test Topics 15, 16, & 5 B, Free SADP1.5 Know how to write ordered pairs correctly; for example, (x,y). AF1.5 Solve problems involving linear functions with integer values; write the equation; and Envision Topic 5 5-4; ; 18-2 Distributive Property, Order of Operations 18