Chapter 2: Multiply by a Whole Number Lesson Topic Lesson Objectives Chapter Materials 12 Multiplication • Demonstrate an understanding of multiplication and the factor, product, and multiple • Write a mathematical equation for a word phrase • Solve multiplication equations with a multiplication dot, parentheses, or variables • Identify prime and composite numbers • Identify the Greatest Common Factor (GCF) and the Least Common Multiple (LCM) of a pair of numbers • Apply properties of multiplication to numbers and variables: Commutative Property, Associative Property, Identity Property, and Zero Property 13 Multiples of 10 • Multiply multiples of 10 • Apply the Commutative and Associative Properties of Multiplication to multiply factors that are multiples of 10 • Analyze patterns for using mental math to multiply factors that are multiples of 10 • Apply the Distributive Property of Multiplication over Addition to multiply by multiples of 10 • Identify the applied addition or multiplication property 14 Exponents • Develop an understanding of exponents • Develop an understanding of squares • Write numbers in expanded form with multiplication using exponents (powers of 10) 15 1- & 2-Digit Multipliers • Multiply a whole number by a 1- or 2-digit multiplier • Apply the Distributive Property of Multiplication over Addition • Estimate the product by rounding to the place of greatest value and by using front-end estimation • Solve a multiplication word problem 16 Multiply Decimals by a Number • Multiply a decimal by a 1- or 2-digit multiplier • Estimate the product by rounding to the place of greatest value • the Distributive Property of Multiplication over Addition • Solve decimal word problems, including money problems • a multi-step word problem • Multiply a decimal by a power of 10 17 3-Digit Multipliers • Multiply by a multiplier • Estimate the product by rounding to the place of greatest value • Solve a money multiplication problem • Determine the number of partial products • strategies to multiply mentally 18 Squares & Square • Develop an understanding of finding perfect squares • Develop an understanding of finding the square root of a perfect square • List the first 20 perfect squares and their square roots • Use the Pythagorean Theorem to find the measurement of the hypotenuse of a right triangle 19 Chapter 2 Review • Review
20 Chapter 2 Test Cumulative Review • Identify the addition property applied to an equation • Add and subtract whole numbers • Solve for the variable in a subtraction equation • Identify the standard form of a whole number or a decimal written in expanded form or word form • Determine the decimal represented by a point on a number line • for the variable in a part-whole model • Read and interpret a pictograph Chapter 3: Divide by a Whole Number Lesson Topic Lesson Objectives Chapter Materials 21 Division • Demonstrate an understanding of division and the terms dividend, divisor, and quotient • Demonstrate an understanding of the inverse relationship between multiplication and division • Divide by a divisor to find a 2- or 3-digit quotient • Solve a division word problem • Interpret a remainder • Check a division problem using multiplication 22 Multiples of 10 • Recognize numbers divisible by 2, 3, 4, 5, 6, 9, or 10 • Divide multiples of 10 using mental math • Divide by a multiple of 10 • Solve a division word problem • Estimate a quotient • Interpret a remainder • Check a division problem using multiplication 23 2-Digit Divisors • Divide by a divisor • Estimate a quotient • Solve a division word problem • Adjust the quotient in a division problem • Interpret a remainder • a division problem using multiplication 24 Divide a Decimal by a Whole Number • Divide a decimal by a 1-digit whole number • a zero to rename a decimal • Check a division problem using multiplication • Estimate a quotient • Divide to find a quotient less than 1 • Express a fraction as an equivalent decimal • Solve a division word problem • Interpret a remainder 25 Divide a Decimal by Divisors • Determine an average (mean) or a unit rate • Divide a decimal by a 2-digit whole number • Estimate a quotient • Divide to find a quotient less than 1 • Annex a zero to rename a decimal • Solve a division word problem • Interpret a remainder • Express a fraction as an equivalent decimal 26 Divide by a Power of 10 • Divide by a power of 10 • Divide a whole number by a 1-, 2-, or 3-digit divisor • Divide a decimal by a 1-, 2-, or 3-digit whole number • Estimate a quotient
• Congruent & Similar Polygons (page IA34) • Congruent & Similar Polygons (page IA34) for each student • Transformations (page IA35) • Transformations (page IA35) for each student • Block Letters (page IA36), one half page for each pair of students • Circle (page IA37) • Polyhedrons (page IA38) for each student Christian Worldview Shaping (Teacher's Toolkit CD): • Pages 18–19 Teaching Aids: • A page for display, for overlay with Coordinate Plane (page (IA24) • 2 lengths of string (each at 1 yard in length) • 2 sheets of colored (2 different colors) • A small rectangular poster or teaching chart • An overhead protractor • Chalk or markers (3 different colors) • Construction paper (at least 3 different colors) • Tracing paper (optional) • An object to represent each of the following: cone, cylinder, rectangular sphere, square prism, square pyramid, triangular prism, triangular pyramid (optional) • A purchased set of 3-dimensional figures • Three 3 x 5 cards • A ruler for each student and the teacher • A brass fastener for each student and the teacher • A protractor for each student and the teacher • Graph paper for each student • 8 toothpicks or sticks for each student • A sheet of notebook paper for each student • A blank sheet of paper for each student • Transparent tape for each student Math 6 and Answer Key Optional (Teacher’s Toolkit CD): • Fact Review pages • Application pages • Calculator Activities 61 Chapter 6 Test Cumulative Review • Compare fractions • Multiply and divide decimals by a multiple of 10 • Add and subtract fractions • Identify of angles and lines • Find the unknown measure of an in a triangle • Multiply by a multiplier • Identify a number • Determine a common factor • Find the missing subtrahend in a subtraction equation • Add decimals and whole numbers • Compare integers • Use a to answer questions and to solve problems Chapter 7: Multiply Fractions & Decimals Lesson Topic Lesson Objectives Chapter Materials
• Fixed Volume (page IA60) • Volume (page IA60) for each group of students • Volume Review (page IA61) • Volume Review (page IA61) for each student • Volume Word Problems, page IA62 Christian Worldview Shaping (Teacher’s Toolkit CD): • Page 30 Other Teaching Aids: • A storage container with lid (shoebox size) • Cube-shaped blocks • Several 8 ½ × 11 blank sheets of paper • A rectangular prism-shaped block • A cube-shaped container with lid • A calculator for each student • A ruler for each student and the teacher • Four 9 × 12 sheets of construction paper for each group of students and the teacher • Transparent tape for each group of students and the teacher • 6 cups of rice, unpopped popcorn, or dried beans for each group of students and the teacher • A box lid or rectangular pan for each group of students and the teacher • A 1-cup liquid measuring cup for each of students and the teacher Math 6 Tests and Answer Key Optional (Teacher’s Toolkit CD): • Fact Review pages • Application pages • Calculator Activities 109 Volume of Cubes • Develop an understanding of the volume of a cube (square prism) • Find the volume of a cube using a model • Calculate the volume of a cube using a formula • Calculate the unknown measurement of a rectangular prism • Relate volume to real-life situations 110 Volume of Other 3-D Figures • Find the volume of an irregular prism using a model • Calculate the volume of a triangular prism and of a cylinder using formulas • Relate volume to real-life situations 111 Volumes & Fixed Lateral Surfaces • Recognize that surface area can vary for a fixed volume • Calculate the volume and the lateral surface area of a rectangular prism and of a cylinder using formulas • Recognize that volume can vary for a lateral surface area 112 Chapter 12 Review • Review 113 Chapter 12 Test Cumulative Review • Add, subtract, multiply, and divide whole numbers, decimals, and fractions • Rename a fraction as a decimal • Identify the ordered pair for a point on a coordinate plane • Determine the radius and the diameter of a circle • Identify the formula used to find the area of a circle • Identify geometric figures: a parallelogram, parallel lines, perpendicular lines • Classify angles as acute, obtuse, or right • Read and interpret a line plot Chapter 13: Ratios, Proportions & Percents Lesson Lesson Objectives Chapter Materials