Math Pacing Guide  

Description:

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
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