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Challenge Program

Grade 1 - Challenge Math Extension Activities

Trailblazers Unit 9 Grouping by 10's

  • Choose own number & count by 10's
  • Place value number riddles
  • Classroom center materials

Trailblazers Unit 8 Subtracting to Solve Problems

  • Guess my number
  • Numskill math facts game

Grade 2 - Challenge Math Extension Activities

Grade level: Detective/deductive thinking skills lessons

Trailblazers Unit 4 Working with Data

Collect data on hand and finger measures: "The Great Span" from tip of thumb to tip of little finger. Plot date on line plot and analyze.

Trailblazers Unit 3 Buttons: Estimating, Grouping & Counting

  • Introduce line plot
  • Problem solving steps
  • Crayon word problems
  • Estimating quick images
  • Materials for classroom centers

Trailblazers Unit 2 Exploring Numbers

  • 200 chart game
  • Numskill math facts game
  • What is a graph?
  • Small group problem solving

Grade 3 - Challenge Math Extension Activities

Trailblazers Unit 7 Exploring Multiplication & Division

  • Venn diagrams with even numbers & multiples of 3
  • Multiples of 9 number patterns
  • Multiple step multiplication problems

Trailblazers Unit 6 More Adding & Subtracting

  • Close to 1,000 addition & subtraction game
  • Multiple step word problems
  • Pyramid subtraction

Trailblazers Unit 5 Area of Different Shapes

  • Estimating area of polygons
  • MCAS grade 4 open response question: "Placemats"

Trailblazers Unit 4 Place Value Concepts

  • Individual assessment: reading and writing large numbers to millions
  • Place value addition & subtraction
  • Number tile addition problems
  • Addition with missing digits
  • Multiple step addition & subtraction problems
  • MCAS grade 4 open response elapsed time problem: Planning Museum of Science Field Trip Schedule

Trailblazers Unit 3 Exploring Multiplication

  • Arranging chairs problems with multiplication arrays
  • How many legs problems
  • Riddle with 22 legs

Trailblazers Unit 2 Strategies: Addition & Subtraction

  • Artist Albert Durer's special Magic Square
  • Challenging Magic Squares
  • Subtraction with missing digits
  • Primary Challenge Math: How Much Change Do I Get? (level 2)

Grade 4 - Challenge Math Extension Activities

Trailblazers Unit 7 Patterns in Multiplication

  • Cluster Multiplication
  • Divisibility tests for 2,3,4,6,9, & 10

Trailblazers Unit 6 Place Value Patterns

  • Brainstorm when big numbers are used
  • Brainstorm all place value positions students think they know
  • Research: Is Zillions a place value position?
  • Place value through 100 billion
  • Trillions through googleplex and notation with exponents
  • Expanded notation with exponents

Trailblazers Unit 5 Using Data

  • Grade averages-the meaning of mean; what scores would you need to get a certain grade average
  • Collect data: balancing on one foot with eyes closed timed in seconds
  • Create a line plot from data
  • Analyze mystery balancers

Trailblazers Unit 4 Products and Factors

  • Factor puzzles
  • Prime and multiple number puzzles and create own puzzles
  • Common mistakes with exponents
  • Problem solving strategy: make a picture
  • Snowman construction project

Trailblazers Unit 3 Numbers and Number Operations

  • Place value puzzles and create own puzzle
  • Roman numerals
  • Place value game with deck of cards
  • Place value above one million
  • Math Olympiad algebra addition and subtraction problems
  • Primary Challenge Math: How Much Change Do I Get? (fewest pieces rule)

Trailblazers Unit 2 Geometric Investigation

  • Finding area and perimeter of different shapes
  • Area and perimeter of irregular shapes with missing information
  • Quick perimeter & area quiz
  • Problem solving steps and ICE method
  • Perimeter problem solving
  • Pre-test on angles
  • Classifying triangles

Grade 5 - Challenge Math Extension Activities

Trailblazers Unit 7 Decimals & Probability

  • Identify and correct errors sometimes made when problem solving with decimals

Trailblazers Unit 6 Geometry

  • Using parallel lines & transversals to measure angles without a protractor
  • Using pattern blocks to explore similar polygons & identify ratio relationships

Trailblazers Unit 5 Investigating Fractions

  • Challenge geoboard fractions
  • Using a fractionstick chart to find common denominators
  • Equivalent fraction magic square
  • Tic Tac Toe fraction problem choice activity
  • Using fraction stick pieces to add/subtract fractions with same & different denominators

Trailblazers Unit 4 Data & Division

  • Primary Challenge Math: Area Problems
  • Quick division quiz
  • Comparing Algorithms: addition, subtraction, multiplication & division
  • Mystery division (algebra)
  • Cluster division
  • Division with missing digits
  • Primary Challenge Math: Division Problems
  • Primary Challenge Math: Distance vs. Time

Trailblazers Unit 3 Fractions & Ratios

  • Pretest 5th grade year fraction topics
  • Pattern block mixed numbers
  • Using the fraction stick chart
  • Equivalent fraction problem solving
  • Equivalent fraction puzzles
  • Problem Solving: "What's My Speed?"

Trailblazers Unit 2 Big Numbers & Multiplication

  • Cluster Multiplication

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