Lesson 2: Round Numbers – 2 Activities
Students round to the nearest thousand, nearest ten thousand, nearest hundred thousand and nearest million. Students develop number sense, identify different ways of representing numbers, and visualize and represent numerical relationships.
Lesson 3: Divisibility Rules – 1 Activity
Students will apply the divisibility rules of 2, 3, 4, 5, 6, 8, 9 and 10 to various numbers. (Divisibility, divide, division, number sense)
Lesson 7: Compare Scientific Notation – 1 Activity
Students will use the signs <, > and = to compare rational numbers in scientific notation. (Scientific notation, powers of ten, exponent, base, decimal, greater than, less than, equal, compare)
Lesson 8: Number Line – 3 Activities
Students will identify and represent integers and rational numbers on a number line. (Number lines, integers, rational numbers, intervals, converting fractions, improper fractions, mixed numbers, terminating decimals, repeating decimals)
Lesson 11: Skills & Strategies – 2 Activities
Students will analyze and solve problems using number-sense skills and strategies. Students will develop number sense, identify different ways of representing numbers, and visualize and represent numerical relationships.
Lesson 12: Everyday Math – 2 Activities
Students will identify mathematical concepts and apply them to everyday experiences. Students will develop number sense, identify different ways of representing numbers, and visualize and represent numerical relationships.
Lesson 18: Whole Numbers (x and ÷) – 2 Activities
Students will multiply and divide whole numbers. (Multiply, divide, remainder, factor, product, quotient, divisor, dividend, multiplication, division)
Lesson 20: Mental Math – 2 Activities
Students will demonstrate mental computation strategies for multiplication and division by powers of 10. Students will use addition, subtraction, multiplication, and division of whole numbers in problem-solving situations.
Lesson 22: Use a Calculator – 2 Activities
Students will use a calculator to add, subtract, multiply and divide up to five-digit numbers. Students will use addition, subtraction, multiplication, and division of whole numbers in problem-solving situations.
Lesson 24: Add and Subtract Mixed Numbers – 2 Activities
Students will convert between mixed numbers and improper fractions and add and subtract mixed numbers and fractions having like and unlike denominators with regrouping. (Fractions, add, subtract, mixed numbers, improper fractions, denominators, numerators)
Lesson 28: Divide Fractions – 6 Activities
Students will divide whole numbers by fractions, fractions by fractions and mixed numbers by whole numbers and fractions. (Fractions, divide, denominator, numerator, mixed numbers, improper fractions)
Use appropriate tools strategically.
Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, "Does this make sense?" They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.