BIG Ideas. Assessment Teacher Resources Standards

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Wendy Ferguson
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1 Course Name: Unit: Introductory Time Line: 2 weeks Students will be able to simplify expressions. 1. Real Life Problems Solve problems using the four-step plan. Identify and use problemsolving strategies. 2. Exponents Define and identify exponent, factor, power, and base. Evaluate powers. Textbook Textbook E F B A C D F E A Use exponents to write and evaluate expressions. Multiply and divide powers. Simplify negative and zero exponents. Calculate the products in Scientific Notation. 3. Order of Operation Solve expressions using the order of operations. Identify the order of operations by using Please excuse my dear Aunt Sally. Textbook B A E M8.A.2.1.1

2 Course Name: Unit: Proportions Time Line: Essential Content/ Performance Essential Questions Objectives 1. Ratios and Rates Define and identify the differences of rates and ratios. Express ratios and rates in simplest form. Express rates as unit rates. Textbook D D B F G B M8.A Solve rate word problems ex. -Simple Interest -Compound Interest. Set up and solve scale drawings. 2. Percents Define Percentages. Write ratios to percentages. Change percentages to fractions. Textbook A D M8.A M8.A Calculate percentages. Estimate percentages. Change fraction to percentages. 3. Proportions Define a proportion. Solve proportions using cross products. Textbook D Solve word problems using proportions.

3 Course Name: Unit: Measurement, Area, and Volume Time Line: 3 weeks Students will be able to calculate circumference, perimeter, area and volume. Essential Content/ Essential Questions 1. Circumference, Perimeter and Area Performance Objectives Define rectangle, square, parallelogram, base altitude, and height. Calculate the perimeter and area of a square, rectangle, parallelogram, triangle, and trapezoid. Describe how a change in dimensions changes the perimeter and area. Approximate pi. Define radius, diameter, and circumference. Textbook A D E G Calculate the circumference and area of a circle. 2. Volume Identify the following 3-D figures: Prism, Cylinder Pyramid, and Cones. Calculate surface area and volume of 3-D figures. Textbook D D G M8.B M8.B M8.B M8.C.1.1.1

4 Course Name: Unit: Measurement, Area, and Volume Time Line: 3 weeks Students will be able to calculate circumference, perimeter, area and volume. Essential Content/ Essential Questions 3. Conversion of Measurements Performance Objectives Convert metric measurements. Convert customary measurements. Convert time. Convert Temperature between Celsius and Fahrenheit. Textbook D M8.B M8.B M8.B M8.B.1.1.4

5 Course Name: Unit: Geometry Time Line: 2 weeks Students will be able to calculate missing angles and sides. 1. Parallel Lines Identify and calculate angles formed by parallel lines that are cut by a transversal. Ex. alternate interior angles, alternate exterior angles, and corresponding angles. Teacher created: Textbook C A E M8.C Angle Classifications Identify and calculate missing angles of vertical, complementary, and supplementary angles. Teacher created: Textbook C B M8.C Triangle Classification Classify triangles by their angles and sides. Calculate missing angles. Teacher created: Textbook C D C B 4. Classifying Quadrilaterals Compare and contrast the characteristics of the quadrilaterals listed: Parallelogram Rectangle Rhombus Square Trapezoid. Teacher created: Textbook C C D

6 Course Name: Unit: Geometry Time Line: 2 weeks Students will be able to calculate missing angles and sides. Essential Content/ Essential Questions 5. Similar and Congruent Triangles Performance Objectives Identify congruent triangles using angle properties. Calculate missing angles and sides of congruent triangles. Identify similar triangles. Calculate missing sides of similar triangles. Teacher created: Textbook F K B 6. Translations Identify and graph slides, reflections, and rotations. Analyze geometric patterns. Teacher created: Textbook H I J

7 Course Name: Unit: Number Patterns/Theory Time Line: 3 weeks Students will be able to calculate and use the GCF and LCM with fractions. 1. Number Theory State and use the divisibility rules for 2, 3, 4, 5, 6, 9, and 10. Define prime number, composite number, and prime factorization. Textbook G Identify numbers as prime or composite. Find the prime factorization of a composite number by using the list method and a factor tree. Use divisibility tests and factor trees to find the prime factorization. Find the Greatest Common Factor of two or more numbers using prime factorization.

8 Course Name: Unit: Number Patterns/Theory Time Line: 3 weeks Students will be able to calculate and use the GCF and LCM with fractions. Essential Content/ Essential Questions 1. Number Theory (Continued) Performance Objectives Find the Least Common Multiple of two or more numbers using prime factorization. Identify a monomial. Factor a monomial. Find the GCF and LCM of a monomial. Write a variable expression in simplest form. Textbook G 2. Rational Numbers Identify and simplify rational numbers. Convert between decimals and fractions. Textbook A B C G Define terminating, repeating decimals, and bar notation. Use <, >, and = to compare rational numbers.

9 Course Name: Unit: Number Patterns/Theory Time Line: 3 weeks Students will be able to calculate and use the GCF and LCM with fractions. Essential Content/ Essential Questions Rational Numbers (continued) Performance Objectives Compare and order rational numbers. Define Scientific Notation. Convert numbers from standard form to scientific notation and vice versa. Add, subtract, multiply, and divide negative fractions Textbook A B C G M8.A.1.1.1

10 Course Name: Unit: Statistics/Data Analysis and Probability Time Line: 3-4 weeks Students will be able to calculate probabilities of specific events. 1. Graphs Draw and interpret: Bar Graphs Circle Graphs Line Plots 2. Measure of Central Tendency Analyze data and calculate the mean, median, and mode. Teacher Created: Teacher Created: Textbook Textbook B A C B E M8.E M8.E A M8.E Data Graphs Draw and interpret: Stem-and-Leaf Plots Box-and-Whisker Plots Scatter Plots. Teacher Created: Textbook A C E F D E M8.E M8.E.4.1.1

11 Course Name: Unit: Statistics/Data Analysis and Probability Time Line: 3-4 weeks Students will be able to calculate probabilities of specific events. 4. Probability Comprehend terms: Outcome Event Sample space Probability. Calculate simple probabilities. Calculate odds in favor and odds against. Calculate the number of outcomes using: The counting principal Tree Diagram Permutations Combinations. Define and use P(n,r) notation. Define and use C(n,r) notation. Understand the differences between permutation and combination.. Understand the difference between theoretical and experimental probability. Find experimental probability. Understand the difference between independent and dependent events. Find probability of independent and dependent events. Calculate the probability of disjoint and overlapping events. Define and use sampling to predict outcomes Teacher Created: Textbook G F B D G A B C E M8.E M8.E.3.2.1

12 Course Name: Unit: Integers Time Line: 3 weeks Students will be able to simplify expressions using integer rules. 1. Integers Define Integers, absolute value, opposites, and coordinates. Name coordinates of points and graph points on a number line. Textbook B C F G D M8.A Compare and order integers using a number line. Add and subtract integers using a number line, a rule, and a calculator. Define Additive Inverse.

13 Course Name: Unit: Equations and Inequalities Time Line: 3-4 weeks Students will be able to solve equations and inequalities. 1. Equations (Whole #) Define equations and inverses. Solve equations using addition and subtraction. Solve equations using multiplication and division. Textbook C D E F M8.D M8.D M8.D M8.D Translate verbal phrases and sentences into algebraic expressions and equations. Solve two-step equations.

14 Course Name: Unit: Equations and Inequalities Time Line: 3-4 weeks Students will be able to solve equations and inequalities. 2. Equations (Rational #) Add, Subtract, multiply, and divide fractions. Use a calculator for fraction operations. Textbook B D F C Solve one-step and two-step rational equations. Identify and use addition and multiplication of the following properties: Commutative, Associative, and Identity. Identify and use the Distributive property to write equivalent variable expressions. Simplify algebraic expressions using the distributive property and combining like terms. Solve equations having like terms and parentheses. Solve equations with variables on both sides.

15 Course Name: Unit: Equations and Inequalities Time Line: 3-4 weeks Students will be able to solve equations and inequalities. 3. Coordinate System Identify and label the coordinate system: origin, x- axis, y-axis, quadrants, ordered pairs, x-coordinate, & y-coordinate. Graph points on the coordinate plane. Textbook H C G M8.C M8.D M8.D M8.D Name ordered pairs for points on the coordinate plane. 4. Inequalities Identify inequalities (<, >,, and ). Write, solve, and graph inequalities. Textbook C E F M8.D Solving one and 2-step inequalities involving rational numbers. Graph solutions on a number line. Solve inequalities using multiplication or division for positive and negative numbers. Solve multi-step inequalities

16 Course Name: Unit: Square Roots Students will be able to apply the Pythagorean Theorem and solve using square roots. 1. Square Roots Define and memorize the perfect squares up to 15. Define and calculate square roots of perfect squares. Identify the principal root, negative root, and radical sign. Find the square roots of numbers using a calculator. Estimate square roots. Identify real numbers, irrational numbers, integers, and whole numbers. Solve an equation using square roots. Simplify radical expressions. Time Line: 3 weeks Textbook A B C C B C M8.D Pythagorean Theorem State the Pythagorean Theorem. Use the Pythagorean Theorem to solve problems. Textbook A M8.C Find the distance between two points on the coordinate plane using the Pythagorean theorem. Solving problems using the Pythagorean Theorem.

17 Course Name: Unit: Functions Time Line: 3 weeks Students will be able to make a function table and graph a function. Essential Content/ Essential Questions Performance Objectives 1. Linear Functions Define a function, function table, domain and range. Make a function table and graph the function. Find function values. Define a linear function. Textbook B C G H I J C M8.D.1.1.3

Syllabus for Grade 7. More details on each of the topics is covered in the following pages.

Syllabus for Grade 7. More details on each of the topics is covered in the following pages. Syllabus for Grade 7 Chapter 1 Algebraic Reasoning Chapter 2 Integers and rational numbers Chapter 3 Number Theory Chapter 4 Rational number Chapter 5 Patterns and functions Chapter 6 Proportional Relationships