Primary Mathematics Home Instructor's Guide 4B (2022 Edition)

Concepts covered include: Numbers to 1,000,000 (group into and count by hundreds of thousands, tens of thousands, thousands, hundreds, tens, and ones; represent numbers in various contexts; compare and order; write multi-digit numbers in standard, expanded, and word forms; use place-value models). Recognize, write, name, and illustrate mixed numbers and improper fractions in various forms. Fractions (generate equivalent and compare non-equivalent fractions; convert among mixed numbers and improper fractions; understand decimal notation through hundredths as an extension of the base-ten system). Fluently add and subtract multi-digit whole numbers using the standard algorithm. Understand factors and multiples. Multiply a 4-digit whole number by a 1-digit number and multiply two 2-digit numbers using strategies based on place value. Divide a 4-digit number by a 1-digit number with and without a remainder. Solve multi-digit multiplication and division problems. Multiply or divide to solve word problems. Add and subtract like fractions. Solve word problems involving multiplication of a fraction by a whole number. Add and subtract money amounts. Use mental math and estimation strategies to find sums, differences, products, and quotients. Understand prime and composite numbers. Find the greatest common factor and least common multiple. Determine if a whole number is prime or composite. Use a variety of concrete, pictorial, and symbolic models for the four operations with whole numbers, fractions, and decimals. Write and solve equations for multi-step word problems. Determine the missing parts in equations. Identify perpendicular and parallel lines. Understand the relationship between angles and circular measurement. Apply the properties of squares and rectangles. Recognize line symmetry. Solve real-world problems involving length, weight/mass, volume/capacity; converting from larger to smaller units. Find the perimeter and area for squares, rectangles, and composite figures. Construct and interpret line plots. Consult or download the complete Scope and Sequence for a full report of covered topics and concepts.