Dimensions Math® Resources for Home Instructor’s Guides

The Printouts and Mental Math Sheets below are for use alongside the Dimensions Math Home Instructor’s Guides. You may download and print them for free. They are also available for purchase in ready-to-use packs here: Home Instructor’s Printouts.

The Home Instructor's Printouts Library lists all printouts for grades 1–5 in alphabetical order.

Celebrate your students’ hard work! Present these at the completion of each grade level. Please note, these certificates are just for celebratory purposes. They do not represent official certification.

Grade 1A HIG

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Materials

  • Counters
  • Linking cubes
  • Objects to count, such as toys

Optional

  • Playing cards

Printouts

Materials

  • Counters
  • Dice
  • Linking cubes
  • Two-color counters

Optional

  • Double-nine dominoes

Printouts

Materials

  • Index cards
  • Linking cubes
  • Two-color counters

Optional

  • Die or number cube labeled + 1 on two sides, + 2 on two sides, and + 3 on two sides
  • Playing cards
  • Spinner in a circle divided into 10 parts numbers 1–10

Printouts

Mental Math Sheets

Materials

  • Index cards
  • Linking cubes
  • Two-color counters

Optional

  • Die or number cube labeled − 1 on two sides, − 2 on two sides, and − 3 on two sides
  • Playing cards
  • Spinner in a circle divided into 10 parts numbers 1–10

Printouts

Mental Math Sheets

Materials

  • Counters
  • Index cards
  • Linking cubes

Optional

  • Craft sticks

Printouts

Mental Math Sheets

Materials

  • Counters
  • Index cards
  • Linking cubes

Optional

  • Laminated hundred board where the back has a blank grid
  • Playing cards

Printouts

Mental Math Sheets

Materials

  • Counters
  • Index cards
  • Linking cubes

Optional

  • Laminated hundred board where the back has a blank grid
  • Playing cards

Printouts

Mental Math Sheets

Materials

  • Three-dimensional examples of common shapes (a set of geometric shapes or building blocks, rather than common household objects such as tin cans and boxes)

Optional

  • Attribute Blocks
  • Pattern Blocks
  • Tangrams
  • Various shapes from the environment

Printouts

Materials

  • Counters
  • Objects that can be placed in a row

Optional

  • Paper cups

Printouts

Grade 1B HIG

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Materials

  • Linking cubes
  • Paper clips
  • Ribbon (two different colors) or cardboard or paper strips
  • A straight edge (such as a cardboard strip)
  • String or yarn

Optional

  • Craft sticks (or any set of objects of uniform length)

Printouts

Materials

  • Counters
  • Linking cubes
  • Two-color counters

Printouts

Mental Math Sheets

Materials

  • Linking cubes
  • Place-value cards (or use the printout)
  • Place-value chart
  • Two-color counters

Optional

  • Base-Ten blocks (ones and ten-rods)
  • Craft sticks and rubber bands or tape
  • Laminated hundred chart

Printouts

Materials

  • Counters
  • Linking cubes in tens and ones

Optional

  • Base-ten blocks (ones and ten-rods)
  • Playing cards

Printouts

Mental Math Sheets

Materials

  • Counters
  • Linking cubes

Optional

  • Die or number cubes, one labeled 4, 5, 6, 7, 8, 9, and the other labeled 4, 4, 3, 3, 2, 2
  • Regular die
  • Small paper bowls or plates

Materials

  • Paper circles (or Shapes printout)
  • Paper rectangles (or Shapes printout)
  • Paper squares (or Shapes printout)
  • Paper strips (cut a piece of paper into thirds lengthwise)

Optional

  • Paper plates (to use instead of paper circles)
  • Pattern blocks

Printouts

Materials

  • Linking cubes
  • Place-value cards (or use the printout)
  • Place-value chart
  • Two-color counters

Optional

  • Craft sticks
  • Laminated hundred chart
  • Tens and ones from a Base-Ten Set

Printouts

Mental Math Sheets

Materials

  • Counters (transparent ones that fit on the squares of the hundred chart are ideal)
  • Linking cubes in tens and ones

Optional

  • Base-ten blocks (ten-rods and ones)
  • Die
  • Laminated hundred chart
  • Playing Cards

Printouts

Mental Math Sheets

Materials

  • Analog demonstration clock with geared hands (a demonstration clock, which is fairly large, would be ideal, rather than little “student” clocks)

Printouts

Materials

  • Bills ($1, $5, $10, $20)
  • Coins, at least 25 pennies, 10 dimes, 20 nickels, and 4 quarters
  • Various objects tagged with a cost in cents only

Optional

  • 100 pennies
  • Other bills, such as $2 or $50
  • Other coins, such as half-dollars, or commemorative quarters

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Grade 2A HIG

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Materials

  • Base-ten blocks
  • Place-value discs

Optional

  • Craft sticks and rubber bands
  • Laminated hundred chart
  • Place-value cards
  • Playing cards
  • Ten-sided die

Printouts

Mental Math Sheets

Materials

  • Counters
  • Linking cubes

Optional

  • Laminated hundred chart
  • Playing cards

Printouts

Mental Math Sheets

Materials

  • Place-value chart (paper or individual whiteboard with 3 columns)
  • Place-value discs

Optional

  • Number cube labeled 4, 5, 6, 7, 8 and 9
  • Playing cards

Printouts

Materials

  • Cardboard strip 1 ft long
  • Cardboard strip 1 meter long (100 cm)
  • Centimeter cubes
  • Linking cubes
  • Paper clips (two different lengths)
  • Ribbon (or strips of paper)
  • Rulers

Optional

  • Dice
  • Meter stick

Printouts

Materials

  • Balance
  • Centimeter cubes
  • Crayons (about 45)
  • Dried beans (about 7 cups)
  • Linking cubes
  • Metric weight set
  • Objects that can be weighed using the balance
  • One-pound weight (or something you know weighs 1 lb, such as a 1-lb bag of beans)
  • Paper clips
  • Pennies (at least 400) or other small object you have quantity of, e.g. nails
  • Small paper bags
  • Weighing scale

Materials

  • Counters
  • Linking cubes

Optional

  • Bowls or paper plates
  • Dice

Printouts

Materials

  • Counters
  • Index cards or pre-made flash cards (for multiplication and division facts of 5, 2, and 10) with answers on the back
  • Linking cubes

Optional

  • Cards with multiplication and division facts for 5, 2, and 10, answers on separate cards
  • Laminated hundred chart

Printouts

Mental Math Sheets

Grade 2B HIG

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Materials

  • Base-ten blocks
  • Place-value discs

Optional

  • Counters
  • Four die
  • Laminated hundred chart
  • Number cube labeled 4–9

Printouts

Mental Math Sheets

Materials

  • Counters
  • Index cards
  • Linking cubes

Optional

  • Cards for multiplication and division facts for 2, 3, 4, and 5 without answers on the back

Printouts

Mental Math Sheets

Materials

  • Bills ($1, $5, $10, $20)
  • Coins (100 pennies, 50 dimes, 50 nickels, and 20 quarters)

Optional

  • Various objects, or pictures of objects tagged with a cost in cents only, or a cost in dollars only, or a cost in both dollars and cents (you could use store coupons, highlighting the amount; total amounts should be less than $10.00)

Mental Math Sheets

Materials

  • Paper circles (or Shapes printout)
  • Paper rectangles (or Shapes printout)
  • Paper squares (or Shapes printout)
  • Paper strips (cut a piece of paper into thirds lengthwise)

Optional

  • Pattern blocks
  • Fraction circles
  • Fraction tiles

Printouts

Materials

  • Analog clock
  • Analog demonstration clock with geared hands
  • Digital clock

Optional

  • A second clock face with geared hands

Printouts

Materials

  • Containers of different capacities, two of which have similar capacities
  • One-liter beaker (or measuring cup)
  • One-quart measuring cup
  • Small paper cups

Materials

  • Counters

Printouts

Materials

  • Geoboard and rubber bands
  • Pattern blocks
  • Three-dimensional shapes: cube, cuboid, cylinder, cone, sphere
  • Various other geometric shapes (such as a set of simple building blocks)
  • Various solids with straight or curved edges that can be traced (see textbook page 138)

Optional

  • Graph paper
  • Tangrams

Printouts

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Grade 3A HIG

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Materials

  • Base-ten blocks
  • Place-value chart (draw 4 columns on a personal whiteboard or paper and label them at the top with Thousands, Hundreds, Tens, and Ones)
  • Place-value discs

Optional

  • Place-value cards (purchased version)
  • Playing cards
  • Ten-sided die

Printouts

Mental Math Sheets

Materials

  • Linking cubes

Optional 

  • Number cubes, one labeled with 0, 5, 6, 7, 8, 9, and the other with 0, 1, 2, 3, 4, 5  

Printouts

Mental Math Sheets

Materials

  • Place-value chart 
  • Place-value discs 

Optional 

  • Four sets of number cards 0–9 or playing cards (designate a face card to be 0)  

Printouts

Mental Math Sheets

Materials

  • Counters 
  • Linking cubes 

Optional 

  • Multiplication and division fact cards 
  • Number cubes labeled with 1–5 and 10 
  • Number cube labeled with 2, 3, 3, 4, 4, and 5 
  • Playing cards 
  • Small paper plates or bowls  

Printouts

Mental Math Sheets

Materials

  • Counters
  • Place-value chart
  • Place-value discs

Optional

  • Four sets of number cards 0–9 or playing cards (designate a face card to be 0)
  • Number cube labeled with 2, 3, 3, 4, 4, 5
  • Place-value chart

Printouts

Mental Math Sheets

Materials

  • Base-ten blocks 
  • Place-value discs 

Optional 

  • Craft sticks and rubber bands 
  • Playing cards to use as number cards 0–10 (designate a face card to be 0)  

Printouts

Mental Math Sheets

Materials

  • Counters

Printouts

Grade 3B HIG

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Materials

Optional

  • Counters 
  • Fact cards 
  • Laminated hundred chart (use the back to create a multiplication table) 
  • Number cube 
  • Playing cards   

Printouts

Mental Math Sheets

Materials

  • Paper strip or ribbon 1 meter long (at least two of them) 

Optional 

  • Fraction tiles 

Printouts

Materials
Optional

  • Fraction circles 
  • Fraction tiles 
  • Playing cards  

Printouts

Materials

  • 1-L beaker 
  • Containers (cups, bottles) 
  • Meter stick 
  • Platform scale (in kilograms) 
  • Tape measure 

Optional 

  • 100-mL beaker 
  • 500-mL beaker 
  • Centimeter cube 
  • Metric weight set 
  • Teaspoon  

Mental Math Sheets

Materials

  • Cardboard strips and brad fastener 
  • Compass 
  • Geoboard and rubber bands 
  • Ruler 
  • Set squares 

Optional:

  • Short lengths of pipe cleaner or thin wire 
  • Straws 
  • Tangrams  

Printouts

Materials

  • Ruler 
  • Toothpicks 

Optional 

  • Centimeter cubes 
  • Dice 
  • One-inch square tiles  

Printouts

Materials

  • Analog demonstration clock with geared hands 
  • Stopwatch or timer  

Mental Math Sheets

Materials

  • Bills ($1, $5, $10, $20) 
  • Coins (100 pennies, 50 dimes, 50 nickels, and 20 quarters) 

Optional 

  • Store cards (20 of them): pictures of objects on index cards, with a cost between $1.00 and $25.00 (you can use coupons with those amounts)   

Printouts

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Grade 4A HIG

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Materials

  • Place-value chart (draw 7 columns on a personal whiteboard or paper and label them at the top with the place-value names) 
  • Place-value discs to hundred thousands 

Optional 

  • Number cube labeled +100, +1,000, +10,000, −100, −1,000, and −10,000 
  • Place-value cards (purchased version) 
  • Playing cards 
  • Ten-sided die  

Printouts

Mental Math Sheets

Materials

  • Place-value chart 
  • Place-value discs 

Optional 

  • Playing cards

Printouts

Mental Math Sheets

Materials

  • Counters 
  • Linking cubes 

Optional 

  • Laminated hundred chart 
  • Number cube labeled 0−5 
  • Number cube labeled 4−9 
  • Place-value discs 
  • Square tiles 
  • Ten-sided die  

Printouts

Mental Math Sheets

Materials

  • Place-value discs

Optional

  • Playing cards

Printouts

Mental Math Sheets

Materials

  • Base-ten blocks
  • Place-value discs 

Optional 

  • Playing cards  

Printouts

Mental Math Sheets

Materials

  • Optional 
  • Fraction circles 
  • Fraction tiles 
  • Pattern blocks 
  • Quart or liter measuring cup 
  • Ribbon   

Printouts

Mental Math Sheets

Materials

Optional 

  • Fraction circles 
  • Fraction tiles  

Printouts

Materials

  • Counters 

Optional  

  • Fraction circles 
  • Fraction tiles 
  • Two-color counters  

Printouts

Materials

  • Counters  

Printouts

Grade 4B HIG

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Materials

  • 1-cup measuring cup
  • 1-quart measuring cup
  • Cup, pint, quart, half-gallon, and gallon containers
  • Measuring tape showing centimeters and inches
  • Meter stick
  • Platform scale showing pounds

Optional

  • 1-liter beaker
  • Balance
  • Customary weight set
  • Demonstration analog clock with geared hands
  • Metric weight set

Printouts

Mental Math Sheets

Materials

  • Ruler

Optional

  • Yard stick

Printouts

Mental Math Sheets

Materials

  • Place-value chart (draw with 4 columns labeled tens, ones, tenths, and hundredths) 
  • Place-value discs for hundreds, tens, ones, tenths, and hundredths 

Optional 

  • Ribbon or strip of paper 1 meter long (see Lesson 1)

Printouts

Materials

  • Place-value chart (draw with 4 columns labeled tens, ones, tenths, and hundredths)
  • Place-value discs for hundreds, tens, ones, tenths, and hundredths

Optional

  • Counters
  • Ten-sided die

Printouts

Materials

  • Place-value discs for hundreds, tens, ones, tenths, and hundredths

Optional

  • Ten-sided die

Printouts

Mental Math Sheets

Materials

  • Protractor
  • Ruler
  • Set Squares

Optional

  • Compass (directional)
  • Laminated hundred board

Printouts

Materials

  • Compass (for drawing circles)
  • Ruler
  • Set squares

Optional

  • Geoboard
  • Pattern blocks
  • Small rectangular mirror
  • Tangrams

Printouts

Materials

  • Cube
  • Cuboid
  • Set squares

Printouts

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Grade 5A HIG

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Materials
Optional

  • Place-value discs (ones, tens, hundreds, thousands, ten thousands, hundred thousands)  

Mental Math Sheets

Materials
Optional 

  • Graph paper (to help with drawing neater bar models) 
  • Playing cards  

Printouts

Mental Math Sheets

Materials

  • Place-value discs (ones, tens, hundreds) 

Optional 

  • Graph paper  

Materials
Optional

  • Fraction circles
  • Fraction tiles
  • Playing cards
  • Ten-sided die

Printouts

Materials

  • Counters  

Optional

  • Fraction circles 
  • Fraction tiles 
  • Playing cards 
  • Ten-sided die  

Printouts

Materials

  • Pattern blocks  

Optional 

  • Playing cards 
  • Ten-sided die  

Printouts

Materials

  • Ruler  

Optional

  • Measurement tools, e.g., measuring cups, beakers   

Printouts

Materials

  • Centimeter cubes 
  • Multilink cubes 
  • Ruler   

Optional

  • Base-ten blocks 
  • Graduated beakers 
  • Liter cube 
  • Small objects that will sink in water, such as marbles or nails  

Printouts

Grade 5B HIG

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Materials

  • Base-ten blocks 
  • Meter stick 
  • Place-value discs (hundreds, tens, ones, tenths, hundredths, and thousandths)  

Printouts

Mental Math Sheets

Materials

  • Base-ten blocks 
  • Place-value discs for hundreds, tens, ones, tenths, and hundredths  

Mental Math Sheets

Materials

  • Compass 
  • Geoboard 
  • Protractor 
  • Ruler 
  • Set Squares  

Printouts

Materials

  • Multilink cubes 

Optional 

  • Pattern blocks  

Printouts

Materials

  • Counters 

Optional 

  • Two-color counters 
  • Multilink cubes 

Printouts

Mental Math Sheets

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