GRADE 5 PACING GUIDE
Math 5 - Module 1 – Whole Number and Decimal Fraction Place Value to the One-Thousandths (Approximately 4 weeks)
- Demonstrate an understanding that in a multi-digit number, a digit in one place represents 1/10 of what it represents in the place to its left
- Explain patterns in the number of zeroes in the product when multiplying a number by powers of 10
- Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10
- Use whole number exponents to denote powers of 10
- Read and write decimals to thousandths using base 10 numerals, word form, and expanded form
- Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols
- Round decimals to ones, tenths, hundredths, or thousandths place
Math 5 - Module 2 – Multi-Digit Whole Number and Decimal Fraction Operations (Approximately 6 weeks)
- Multiply multi-digit whole numbers, not to exceed three digits by three digits
- Find whole number quotients of whole numbers with up to four digit dividends and two digit divisors
- Add, subtract, multiply, and divide decimals to hundredths (no divisors with decimals)
- Use multiple grouping symbols (parentheses, brackets, or braces) in numerical expressions, and evaluate expressions containing these symbols
- Write simple expressions that model calculations with numbers
- Interpret numerical expressions without evaluating them
Math 5 - Module 3 – Addition and Subtraction of Fractions (Approximately 7 weeks)
- Add and subtract fractions (including mixed numbers) with unlike denominators
- Solve problems using computation of fractions by using information presented in line plots
Math 5 - Module 4 – Multiplication and Division of Fractions and Decimal Fractions (Approximately 7 weeks)
- Solve word problems, including division of whole numbers, leading to answers in the form of fractions
- Multiply a fraction and mixed numbers by a fraction
- Demonstrate an understanding of multiplication as scaling/resizing
- Divide unit fractions by whole numbers and whole numbers by unit fractions
- Convert among different sized measurement units within a given measurement system using a provided table of equivalencies
- Solve problems involving computation of fractions by using information presented in line plots
- Display and interpret data shown in tallies, tables, charts, pictographs, bar graphs, and line graphs
- Display and interpret data using the title, appropriate scale, and labels
Math 5 - Module 5 – Addition and Multiplication With Volume and Area (Approximately 6 weeks)
- Classify two dimensional figures in a hierarchy based on properties
- Apply the formulas V = l x w x h and V = B x h for rectangular prisms to find volumes of right rectangular prisms with whole number edge lengths in the context of solving real world and mathematical problems given the appropriate formula
- Find volumes of solid figures composed of two non-overlapping right rectangular prisms
Math 5 - Module 6 – Graph Points on a Coordinate Plane to Solve Problems (Approximately 6 weeks)
- Generate two numerical patterns using two given rules
- Identify apparent relationships between corresponding terms of two patterns with the same starting numbers that follow different rules
- Identify parts of the coordinate plane (x-axis, y-axis, and the origin) and the ordered pair (x-coordinate and y-coordinate). Limit the coordinate plane to quadrant I
- Represent real-world and mathematical problems by plotting points in quadrant I of the coordinate plane, and interpret coordinate values of points in the context of a situation
- Solve problems involving computation of fractions by using information presented in line plots
- Display and interpret data shown in tallies, tables, charts, pictographs, bar graphs, and line graphs
- Display and interpret data using a title, appropriate scale, and labels
REVIEW
PSSA MATH TESTING
Math 6 - Module 1 – Ratios and Unit Rates (Approximately 7 weeks)
- Use ratio language and notation to describe a ratio relationship between two quantities
- Find the unit rate a/b associated with a ratio a: b (with b ≠ 0) and use rate language in the context of a ratio relationship
- Construct tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and/or plot the pairs of values on the coordinate plane. Use tables to compare ratios
- Solve unit rate problems including those involving unit pricing and constant speed
- Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent