Instructional Software
Scope and Sequence
with Standards Alignment
Fourth Grade
Common Core 2015-2016 Edition
Using This Document
This Scope and Sequence contains a Standards Index followed by an Objectives List.
üü Standards Index: Lists standards in order with the Objectives that exercise
those standards.
üü Objectives List: List of games in each objective including game descriptions
and standards alignment.
üü Direct Coverage: Indicates that the objective exercises part or all
of the standard.
üü Supporting Coverage: Indicates that the objective exercises developing or
inferred aspects of the standard.
Scope and Sequence with Standards Alignment for Fourth Grade
Common Core 2015-2016 Edition
Copyright © 2015 by MIND Research Institute
All rights reserved.
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Irvine, California 92617
STANDARDS INDEX
OA - Operations and Algebraic Thinking
Standard
OA.1
Objective(s)
Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal
statements of multiplicative comparisons as multiplication equations.
Supporting: Factors and Multiples
OA.2
Multiply or divide to solve word problems involving multiplicative comparison, e.g., by
using drawings and equations with a symbol for the unknown number to represent the
problem, distinguishing multiplicative comparison from additive comparison.
Supporting: Multiple Operations
OA.3
Solve multistep word problems posed with whole numbers and having whole-number
answers using the four operations, including problems in which remainders must be
interpreted. Represent these problems using equations with a letter standing for the
unknown quantity. Assess the reasonableness of answers using mental computation
and estimation strategies including rounding.
Supporting: Multiple Operations
OA.4
Find all factor pairs for a whole number in the range 1 to 100. Recognize that a whole
number is a multiple of each of its factors. Determine whether a given whole number in
the range 1 to 100 is a multiple of a given one-digit number. Determine whether a given
whole number in the range 1 to 100 is prime or composite.
Direct: Factors and Multiples; Patterns in Number and Shape
continued on next page
Common Core 2015-2016 Edition
1
Fourth Grade
OA - Operations and Algebraic Thinking (continued)
Standard
OA.5
Objective(s)
Generate a number or shape pattern that follows a given rule. Identify apparent features
of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3”
and the starting number 1, generate terms in the resulting sequence and observe that
the terms appear to alternate between odd and even numbers. Explain informally why
the numbers will continue to alternate in this way.
Direct: Patterns in Number and Shape
Supporting: Factors and Multiples
Common Core 2015-2016 Edition
2
Fourth Grade
NBT - Number and Operations in Base Ten
Standard
NBT.1
Objective(s)
Recognize that in a multi-digit whole number, a digit in one place represents ten times
what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10
by applying concepts of place value and division.
Direct: Place Value; Using Place Value
NBT.2
Read and write multi-digit whole numbers using base-ten numerals, number names,
and expanded form. Compare two multi-digit numbers based on meanings of the digits
in each place, using the symbols for less than, greater than, and equal to to record the
results of comparisons.
Direct: Place Value; Using Place Value; Rounding Whole Numbers; Comparing
Whole Numbers
NBT.3
Use place value understanding to round multi-digit whole numbers to any place.
Direct: Rounding Whole Numbers
NBT.4
Fluently add and subtract multi-digit whole numbers using the standard algorithm.
Direct: Addition and Subtraction within 1,000,000
NBT.5
Multiply a whole number of up to four digits by a one-digit whole number, and multiply
two two-digit numbers, using strategies based on place value and the properties of
operations. Illustrate and explain the calculation by using equations, rectangular arrays,
and/or area models.
Direct: Multi-Digit Multiplication
continued on next page
Common Core 2015-2016 Edition
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Fourth Grade
NBT - Number and Operations in Base Ten (continued)
Standard
NBT.6
Objective(s)
Find whole-number quotients and remainders with up to four-digit dividends and onedigit divisors, using strategies based on place value, the properties of operations, and/or
the relationship between multiplication and division. Illustrate and explain the calculation
by using equations, rectangular arrays, and/or area models.
Direct: Multi-Digit Division
Common Core 2015-2016 Edition
4
Fourth Grade
NF - Number and Operations-Fractions
Standard
NF.1
Objective(s)
Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction
models, with attention to how the number and size of the parts differ even though the two
fractions themselves are the same size. Use this principle to recognize and generate
equivalent fractions.
Direct: Fractions - Equivalence and Ordering
Supporting: Mixed Numbers; Fraction Multiples; Fraction and Decimal Equivalence
NF.2
Compare two fractions with different numerators and different denominators, e.g., by
creating common denominators or numerators, or by comparing to a benchmark fraction
such as 1/2. Recognize that comparisons are valid only when the two fractions refer to
the same whole. Record the results of comparisons with the symbols for less than,
greater than, or equal to and justify the conclusions, e.g., by using a visual fraction
model.
Direct: Fractions - Equivalence and Ordering
NF.3a
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Direct: Adding and Subtracting Fractions; Adding and Subtracting Fractions LI
Supporting: Fraction Multiples
NF.3b
Decompose a fraction into a sum of fractions with the same denominator in more than
one way, recording each decomposition by an equation. Justify decompositions, e.g.,
by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8; 3/8 = 1/8 + 2/8; 2 1/8
= 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.
Direct: Fraction Multiples
Supporting: Adding and Subtracting Fractions; Adding and Subtracting Fractions LI
continued on next page
Common Core 2015-2016 Edition
5
Fourth Grade
NF - Number and Operations-Fractions (continued)
Standard
NF.3c
Objective(s)
Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed
number with an equivalent fraction, and/or by using properties of operations and the
relationship between addition and subtraction.
Direct: Adding and Subtracting Fractions; Adding and Subtracting Fractions LI
Supporting: Mixed Numbers
NF.3d
Solve word problems involving addition and subtraction of fractions referring to the same
whole and having like denominators, e.g., by using visual fraction models and equations
to represent the problem.
Direct: Adding and Subtracting Fractions; Adding and Subtracting Fractions LI
NF.4a
Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model
to represent 5/4 as the product 5 x (1/4), recording the conclusion by the equation 5/4
= 5 x (1/4).
Direct: Fraction Multiples
NF.4b
Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply
a fraction by a whole number. For example, use a visual fraction model to express 3 x
(2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b.)
Direct: Fraction Multiples
continued on next page
Common Core 2015-2016 Edition
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Fourth Grade
NF - Number and Operations-Fractions (continued)
Standard
NF.4c
Objective(s)
Solve word problems involving multiplication of a fraction by a whole number, e.g., by
using visual fraction models and equations to represent the problem. For example, if
each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people
at the party, how many pounds of roast beef will be needed? Between what two whole
numbers does your answer lie?
Direct: Fraction Multiples
NF.5
Express a fraction with denominator 10 as an equivalent fraction with denominator 100,
and use this technique to add two fractions with respective denominators 10 and 100.
For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
Direct: Fraction and Decimal Equivalence
NF.6
Use decimal notation for fractions with denominators 10 or 100. For example, rewrite
0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.
Direct: Fraction and Decimal Equivalence
Supporting: Comparing Decimals
NF.7
Compare two decimals to hundredths by reasoning about their size. Recognize that
comparisons are valid only when the two decimals refer to the same whole. Record
the results of comparisons with the symbols for greater than, less than, or equal to and
justify the conclusions, e.g., by using a visual model.
Direct: Comparing Decimals
Supporting: Fractions - Equivalence and Ordering; Fraction and Decimal Equivalence
Common Core 2015-2016 Edition
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Fourth Grade
MD - Measurement and Data
Standard
MD.1
Objective(s)
Know relative sizes of measurement units within one system of units including km, m,
cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express
measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know that 1 ft is 12 times as long as 1 in.
Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and
inches listing the number pairs (1, 12), (2, 24), (3, 36), ...
Direct: Measurement and Conversions
MD.2
Use the four operations to solve word problems involving distances, intervals of time,
liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger
unit in terms of a smaller unit. Represent measurement quantities using diagrams such
as number line diagrams that feature a measurement scale.
Supporting: Measurement and Conversions
MD.3
Apply the area and perimeter formulas for rectangles in real world and mathematical
problems. For example, find the width of a rectangular room given the area of the
flooring and the length, by viewing the area formula as a multiplication equation with an
unknown factor.
Direct: Applying Area and Perimeter
MD.4
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4,
1/8). Solve problems involving addition and subtraction of fractions by using information
presented in line plots. For example, from a line plot find and interpret the difference in
length between the longest and shortest specimens in an insect collection.
MD.5a
Understand that an angle is measured with reference to a circle with its center at the
common endpoint of the rays, by considering the fraction of the circular arc between the
points where the two rays intersect the circle. An angle that turns through 1/360 of a
circle is called a “one-degree angle,” and can be used to measure angles.
Supporting: Angles and Triangles
continued on next page
Common Core 2015-2016 Edition
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Fourth Grade
MD - Measurement and Data (continued)
Standard
MD.5b
Objective(s)
Understand that an angle that turns through n one-degree angles is said to have an
angle measure of n degrees.
Supporting: Angles and Triangles
MD.6
Measure angles in whole-number degrees using a protractor. Sketch angles of specified
measure.
Direct: Angles and Triangles
MD.7
Recognize angle measure as additive. When an angle is decomposed into nonoverlapping parts, the angle measure of the whole is the sum of the angle measures of
the parts. Solve addition and subtraction problems to find unknown angles on a diagram
in real world and mathematical problems, e.g., by using an equation with a symbol for
the unknown angle measure.
Direct: Angles and Triangles
Common Core 2015-2016 Edition
9
Fourth Grade
G - Geometry
Standard
G.1
Objective(s)
Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular
and parallel lines. Identify these in two-dimensional figures.
Direct: Exploring Lines and Shapes; Angles and Triangles; Parallel Lines and
Parallelograms
G.2
Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize
right triangles as a category, and identify right triangles.
Direct: Exploring Lines and Shapes; Angles and Triangles; Parallel Lines and
Parallelograms; Advanced Shapes
G.3
Recognize a line of symmetry for a two-dimensional figure as a line across the figure
such that the figure can be folded along the line into matching parts. Identify linesymmetric figures and draw lines of symmetry.
Direct: Lines of Symmetry; Advanced Shapes
Common Core 2015-2016 Edition
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Fourth Grade
OBJECTIVES LIST
Patterns in Number and Shape
Standards Coverage:
Direct: OA.4, OA.5
Module 1: Shape and Situational Patterns
Game Name
Game Description
Pattern Wheel
Pattern
Directions
Robot Patterns
Identify and extend patterns of different geometric shapes.
Helicopter
Identify the number of stacks the helicopter should drop in order to fill the hole in the ground. Teaches
proportional relationships.
Helicopter Table
Fill in the empty boxes in the table with the correct number of blocks for the given the number of
helicopters or with the number of helicopters given the number of blocks.
Make it Linear
Determine the number of blocks needed to make the sequence linear.
Extend repeating patterns in various directions. Here the objects all have the same shape; the
patterns are based on color, orientation, and rotation.
Identify and extend geometric patterns of colored squares on a grid.
Module 2: Implicit Pattern Features
Game Name
Game Description
Hundreds Pit
Multiplication
Table Parts
Multiplication
Pattern Strings
Count by 2s, 5s, or 10s to fill the pit so JiJi can cross. Identify patterns in the counting sequence.
Find locations in the multiplication table that correspond to multiplication facts with a given product.
Investigate relationships between nearby rows and columns with puzzles that have multiple products.
Multiply whole numbers using a place value model.
Common Core 2015-2016 Edition
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Fourth Grade
Factors and Multiples
Standards Coverage:
Direct: OA.4
Supporting: OA.1, OA.5
Game Name
Game Description
Multiples
Factors
Multiples and
Factors
Find the Primes
Prime
Factorization
Prime
Factorization
Bubble
Prime
Factorization
Bubble LI
Identify multiples of a given whole number.
Identify factors of a given whole number.
Identify factors or multiples of a given whole number.
Identify which of the numbers in a given set are primes.
Find prime factorizations for given whole numbers using tree diagrams.
Find prime factorizations for given whole numbers and fill in the bubbles to create the prime
factorization expression.
Find prime factorizations for given whole numbers and fill in the bubbles to create the prime
factorization expression.
Common Core 2015-2016 Edition
12
Fourth Grade
Place Value
Standards Coverage:
Direct: NBT.1, NBT.2
Module 1: Petals Place Value
Game Name
Game Description
Petals Multiple
Choice
Represent ones, tens, hundreds and thousands using words, numerals and visual models.
Pulling Petals
Gain an understanding of place value by transforming the pile of petals into thousands (boxes with
1,000 petals each), hundreds (bouquets with 100 petals each), tens (flowers with 10 petals each), and
ones (single petals).
Bee Petals
Represent numbers using a place value-based flower petal model. In some levels, students determine
the order of magnitude, given a number and a pile of petals (e.g. given the number 4, identify the size
of the pile as 4 ones, 4 tens, or 4 hundreds, or 4 thousands).
Petals Bubble
Select
Find the total number of petals by counting the boxes (thousands), bouquets (hundreds), flowers
(tens) and single petals (ones) and then filling in the hundreds, tens and ones places with the correct
numerals.
How Many
Petals
Write the numeral for how many petals are in a given pile.
Module 2: Place Value Regrouping
Game Name
Game Description
Petals Place
Value
Given a four-digit whole number, identify the number of thousands, hundreds, tens, and ones.
Petals
Regrouping
Given a model of boxes of flowers (thousands), bouquets (hundreds), flowers (tens), and ones
(individual petals), regroup in order to represent the total number of petals as a numeral in standard
place value notation.
Petals
Regrouping
Random
Find the total number of petals by counting the boxes (thousands), bouquets (hundreds), flowers
(tens), and ones (individual petals) and regrouping using mental arithmetic.
Common Core 2015-2016 Edition
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Fourth Grade
Using Place Value
Standards Coverage:
Direct: NBT.1, NBT.2
Game Name
Game Description
Number Line
Journey
Move left and right on the number line to locate the given number.
Place Value
Builder
Identify the digit values of given whole numbers using place value-based models. This game covers
expanded notation and place value concepts up to the millions place while enforcing the skills of
reading and writing whole numbers.
Expanded Form
Provide a number when given its representation in expanded notation. This game also covers place
value concepts to the millions place while enforcing the skills of reading and writing whole numbers.
Commas
Correctly place commas on large whole numbers and identify the place values of the points where the
commas are placed.
Place Value
Clouds
Identify the place value of a given digit of a whole number up to the millions place. The place values
are expressed with the words or symbols for the powers of ten.
Rounding Whole Numbers
Standards Coverage:
Direct: NBT.2, NBT.3
Game Name
Number Line
Journey
Round Off
Highest Place
Round to
Multiple Places
Game Description
Move left and right on the number line to locate the given number.
Round whole numbers to the nearest ten, hundred, or thousand.
Round whole numbers to the nearest ten, hundred, or thousand.
Number Funnels
Round whole numbers to the nearest given place value. The game also teaches place value concepts
up to the hundred thousands place.
Round Off 0s
and 9s
Round whole numbers to the nearest ten, hundred, or thousand.
Common Core 2015-2016 Edition
14
Fourth Grade
Comparing Whole Numbers
Standards Coverage:
Direct: NBT.2
Game Name
Large Number
Comparison
Least Most
Least Most LI
Large Number
Comparison LI
Order Fill
Game Description
Order whole numbers (up to seven digits) using the symbols for less than, greater than, and equal to.
Identify the least or greatest element in a set of whole numbers (up to six digits).
Identify the least or greatest element in a set of whole numbers (up to six digits) and learn the
meaning of the words “least” and “greatest”.
Order whole numbers (up to seven digits) using the phrases “less than”, “greater than”, and “equal to”.
Choose the numbers in order from least to greatest in order to fill the pit so JiJi can cross.
Mixed Numbers
Standards Coverage:
Direct: NF.3
Supporting: NF.1, NF.3c
Module 1: Mixed Numbers with Visual Models
Game Name
Game Description
Match Fraction
Represent a given fraction using a visual model by first dividing a whole into equal parts and then
shading the correct number of parts.
Crank Pies
Represent given fractions, improper fractions, and mixed numbers as circular diagrams displaying
equal parts of a whole. This game also teaches the idea of equivalent fractions.
Alien Bridge
Match Fraction
LI
Use pies divided into fourths to create a fraction diagram to match the given one.
Represent a given fraction using a visual model by first dividing a whole into equal parts and then
shading the correct number of parts.
Module 2: Mixed Numbers on the Number Line
Game Name
JiJi Cycle Select
Wheel
Scale Fraction
Estimate
Fractions on the
Number Line
Fraction Trap
Numerator
Denominator
Game Description
Relate a collection of fractions represented with circular diagrams to a single point on the number line.
Plot the combined length of a collection of rectangles on the number line.
Estimate the location fractions on the number line.
Estimate on a number line the location of Fractions
Identify the numerator and denominator of a fraction represented as a diagram, symbol, or word using
the terms numerator and deonminator.
Common Core 2015-2016 Edition
15
Fourth Grade
Fractions - Equivalence and Ordering
Standards Coverage:
Direct: NF.1, NF.2
Supporting: NF.7
Module 1: Fraction Equivalence
Game Name
Game Description
Fricks
Common
Denominator
with Wholes
Common
Denominator
with Fractions
Equivalent
Fractions
Equivalent
Fractions LI
Represent the same length using different partitionings.
Use the model to implicitly find the common denominator.
Find the common denominator of unit fractions.
Identify equivalent fractions using rectangular diagrams displaying equal parts of a whole.
Identify equivalent fractions using rectangular diagrams displaying equal parts of a whole.
Module 2: Fraction Ordering
Game Name
Game Description
Fraction Trap
Fraction More or
Less
Mixed More or
Less
Fraction Order
Fill
Estimate on a number line the location of fractions.
Compare fractions with the same numerator or the same denominator using models.
Compare mixed numbers with the same numerator or the same denominator using models.
Help JiJi cross the pit by putting one- and two-place decimals in order from least to greatest.
Common Core 2015-2016 Edition
16
Fourth Grade
Angles and Triangles
Standards Coverage:
Direct: MD.6, MD.7, G.1, G.2
Supporting: MD.5a, MD.5b
Game Name
Game Description
Wedge
Identify the objects that can be used to move the barrier. Shapes that are not triangles will block JiJi’s
path since they cannot wedge themselves under the barrier.
Which Angle?
Identify an angle as acute, obtuse, straight, or right when given its numerical or pictorial
representation.
Missing Angle
with Triangles
Find the magnitude of the missing angle on a triangle or quadrilateral using facts about the sums of
their interior angles. This game also introduces the use of a protractor as a tool used to measure an
angle.
Lines of
Symmetry
Shape Types
Identify lines of symmetry in a variety of shapes.
Identify the given polygon.
Common Core 2015-2016 Edition
17
Fourth Grade
Applying Area and Perimeter
Standards Coverage:
Direct: MD.3
Module 1: Area and Perimeter
Game Name
Game Description
Perimeter Select
Calculate the perimeter of a variety of shapes including triangles, squares, trapezoids, parallelograms,
rectangles, and rhombuses.
Select Area
Perimeter
Area Select
Area or
Perimeter?
Learn how to calculate the area and perimeter of a rectangle.
Calculate the area of rectangles using a formula.
Calculate the area of rectangles using a formula.
Module 2: Area and Perimeter
Game Name
Game Description
Area Perimeter
Select Shape
Area Perimeter
with Units
Construct a rectangle with a given area and/or perimeter. This game deepens the student’s
knowledge of the concepts of area and perimeter.
Complete Box
Use the model to fill the space with unit squares - both standard and nonstandard shapes. Illustrate
the additive nature of area.
Complete Box
Fill
Fill the space with unit squares; using both standard and non-standard shapes. Illustrate the additive
nature of area.
Learn the units for measuring area and perimeter and explore pairs of different rectangles with
equivalent perimeters or areas.
Common Core 2015-2016 Edition
18
Fourth Grade
Adding and Subtracting Fractions
Standards Coverage:
Direct: NF.3, NF.3a, NF.3c, NF.3d
Supporting: NF.3b
Game Name
Game Description
Fraction Robot
Add proper and improper fractions with like denominators using rectangular diagrams displaying equal
parts of a whole.
Complementary
Fraction
Alien Bridge
JiJi Cycle Select
Basket
Crank Pies
Scale Fraction
Addition and
Subtraction
Pie Monster
Represent a fraction as sums of unit fractions
Learn the meaning of fraction addition using visual models.
Relate a collection of fractions represented with circular diagrams to a single point on the number line.
Add and subtract fractions with like denominators using circular diagrams displaying equal parts of a
whole.
Add and subtract fractions and mixed numbers on the number line. The fractions and mixed numbers
are presented using visual models.
Use pies divided into fourths to create a fraction diagram to match the given one.
Common Core 2015-2016 Edition
19
Fourth Grade
Adding and Subtracting Fractions LI
Standards Coverage:
Direct: NF.3, NF.3a, NF.3c, NF.3d
Supporting: NF.3b
Game Name
Game Description
AlienBridge LI
Add fractions with the same denominator. In some levels, students fill in the missing addend when
given one addend and the sum.
Complementary
Fraction LI
JiJi Cycle Select
Basket LI
Crank Pies
Addition and
Subtraction LI
Alien Bridge
Mixed LI
Scale Fraction
Addition and
Subtraction LI
Pie Monster LI
Represent a fraction as sums of unit fractions.
Relate a collection of fractions to a single point on the number line.
Add proper and improper fractions with like denominators. This game extends the visual model of
fractions to numeric representations.
Add mixed numbers with the same denominator. In some levels, students fill in the missing addend
when given one addend and the sum.
Add and subtract fractions and mixed numbers with like and unlike denominators on the number line.
Represent the given fraction or whole number with circles divided into equal parts.
Common Core 2015-2016 Edition
20
Fourth Grade
Fraction Multiples
Standards Coverage:
Direct: NF.3b, NF.4, NF.4a, NF.4b, NF.4c
Supporting: NF.1, NF.3a
Game Name
Game Description
Alien Bridge
Learn to multiply fractions by a whole number using a visual model.
Alien Bridge LI
Learn to multiply fractions by a whole number using a visual model. This game integrates the
symbolic notation for recording the multiplication equation displayed in the visual model.
Crank Pies
Fraction
Multiplication
Fraction
Multiplication on
the Number Line
Multiply fractions by whole numbers using visual models.
Multiply fractions and estimate the locations of the products on a number line.
Lines of Symmetry
Standards Coverage:
Direct: G.3
Game Name
Where is the
Line of
Symmetry?
Symmetry Grid
Game Description
Identify lines of symmetry in a variety of shapes.
Create figures that have bilateral symmetry using a grid to reflect shapes across the symmetry line.
Ice Caves
Shoot lasers through blocks of ice along lines of symmetry. Students identify line-symmetric and
asymmetric figures.
Big Seed
Fill all the holes using colored tiles. A group of tiles of the same color can be unfolded along 8
symmetry axes. The color of tiles can also be changed.
Common Core 2015-2016 Edition
21
Fourth Grade
Exploring Lines and Shapes
Standards Coverage:
Direct: G.1, G.2
Game Name
Game Description
Line Balloons
Construct a line that pops a linear arrangement of balloons.
Line Capture
Fit a line to a set of points in the coordinate plane. In later levels, place a point in the plane so that it
will be on the line through the given points.
Do the Lines
Intersect?
Dot Shapes
Pick Geometric
Shapes 2D
Shape Names
Identify parallel, perpendicular, and intersecting lines within a given set of lines.
Construct quadrilaterals and other shapes by connecting vertices.
Match the name of a two-dimensional shape with the number of vertices or edges it has.
Identify the given polygon.
Parallel Lines and Parallelograms
Standards Coverage:
Direct: G.1, G.2
Game Name
Perpendicular
Lines
Bricks
Parallel Lines
Quadrilateral
Types with
Parallelograms
Game Description
Identify parallel, perpendicular, and intersecting lines within a given set of lines.
Arrange the shapes to create the composite shape shown.
Identify parallel, perpendicular, and intersecting lines within a given set of lines.
Identify the given polygon.
Common Core 2015-2016 Edition
22
Fourth Grade
Advanced Shapes
Standards Coverage:
Direct: G.2, G.3
Game Name
Game Description
Lines of
Symmetry
Identify lines of symmetry in a variety of shapes.
Ice Caves
Shoot lasers through blocks of ice along lines of symmetry. Students identify line-symmetric and
asymmetric figures.
Shape Types
Identify different types of triangles (equilateral, acute, etc.) and different types of polygons (rectangle,
rhombus, etc).
Multiple Operations
Standards Coverage:
Supporting: OA.2, OA.3
Module 1: Multi-step Problems
Game Name
Game Description
Complete Box
Represent numerical expressions using an area model.
Linear Transform
Select the number that will allow JiJi to cross to the other side. This game teaches the concept of
equality through problems involving multiple operations.
Linear Transform
Unknown
Operator
Leg Drape Boots
Leg Drape
Creatures
Find the output that results from applying a linear function to a whole number.
Multiply whole numbers using repeated addition.
Multiply whole numbers using repeated addition.
Module 2: Order of Operations
Game Name
Which
Parentheses
Operation Race
Game Description
Identify where the parentheses should be placed to make the expression equal to the given value.
Evaluate numerical expressions using the correct order of operations.
Common Core 2015-2016 Edition
23
Fourth Grade
Fraction and Decimal Equivalence
Standards Coverage:
Direct: NF.5, NF.6
Supporting: NF.1, NF.7
Game Name
Game Description
Fraction Grid
Decimal Grid
Fractions and
Decimals Grid
Number Line
Trap
Addition on NL
Identify fraction equivalents of numbers using the given model.
Identify the decimal equivalents of numbers using the given model.
Identify the decimal and fraction equivalents of numbers using the given model.
Estimate on a number line the location of fourths and halves in fraction and decimal form.
Estimate on a number line the location of fourths and halves in fraction and decimal form.
Comparing Decimals
Standards Coverage:
Direct: NF.7
Supporting: NF.6
Game Name
Game Description
Decimal
Greenies
Identify and interpret the digit values of given decimals using place value-based models. This game
introduces expanded notation, utilizes skills to read and write decimals, and teaches place value
concepts to the hundredths place.
Number Line
Journey
What’s the
Number
Decimal
Comparison
Decimal Order
Fill
Represent one- and two-place decimals on a number line. Some levels require students to decide
which direction to move in at each step to find the given number.
Estimate on a number line the location of fractions.
Order decimals using place value-based methods and the symbols for less than, greater than, and
equal to.
Help Jiji cross the pit by putting one- and two-place decimals in order from least to greatest.
Common Core 2015-2016 Edition
24
Fourth Grade
Multi-Digit Multiplication
Standards Coverage:
Direct: NBT.5
Game Name
Grid
Expressions
Area
Multiplication
Multiplication
Algorithm
Area
Multiplication 2
Game Description
Multiply whole numbers using an area model.
Multiply two-digit whole numbers using visual models.
Multiply multi-digit whole numbers by one-digit whole numbers using the standard algorithm.
Multiply two-digit whole numbers using visual models.
Multi-Digit Division
Standards Coverage:
Direct: NBT.6
Game Name
Game Description
Area Divide
Explore the concept of division using an array model to practice division facts.
Long Division
Divide multi-digit numbers by one-digit divisors using a visual model incorporating place value blocks.
This game builds conceptual understanding of the division algorithm.
Long Division
with Remainder
Long Division LI
Long Division
with Remainder
LI
Divide multi-digit numbers by one-digit divisors with remainders using a visual model incorporating
place value blocks.
Use the long division algorithm to perform division of multi-digit numbers by one-digit divisors.
Use the long division algorithm to perform division of multi-digit numbers by one-digit divisors with a
remainder.
Common Core 2015-2016 Edition
25
Fourth Grade
Measurement and Conversions
Standards Coverage:
Direct: MD.1
Supporting: MD.2
Game Name
Game Description
Buy Item
Measure It
Choose the monetary amount needed to purchase a given item.
Fruit Monster
Determine how many pieces of fruit are needed to feed the monsters. Students explore the
relationship between inputs and outputs using ratios within a visual model.
Rate Objects
Find an equivalent rate to the one given.
Capacity
Learn how to convert between cups, pints, quarts and gallons. Practice converting liquid quantities
between different units.
Measure the length of a gap in US customary units using a ruler.
Addition and Subtraction within 1,000,000
Standards Coverage:
Direct: NBT.4
Game Name
Game Description
Arithmetic
Number Line
Intro to Building
Building Blocks
Addition and
Subtraction
Algorithm
Missing Digits
Add and subtract whole numbers (up to five digits) and estimate sums and differences on a number
line.
Fill in the missing addend to make a sum of 100 or 1000.
Fill in the missing addend to make a sum of 100 or 1000.
Add and subtract whole numbers (up to five digits) using the standard algorithm.
Fill in the missing digit(s) in a multi-digit addition or subtraction computation.
Common Core 2015-2016 Edition
26
Fourth Grade
Challenge
Module 1: Challenge
Game Name
Game Description
Bird Brain
Venn Space
Find birds in a grid after a sequence of transformations.
Big Seed
Fill all the holes using colored tiles. A group of tiles of the same color can be unfolded along 8
symmetry axes. The color of tiles can also be changed.
Venn Space
Pick Shape
Identify the object that has the attributes corresponding to a particular section of a Venn diagram.
Place the object in the correct section of the Venn diagram according to its attributes.
Module 2: Super Challenge
Game Name
Game Description
Dot Shapes
Concentration
Nums
Ice Caves
Kick Box
Connect dots to form shapes which will fill holes in the ground.
Practice multiplication facts.
Identify lines of symmetry in two-dimensional shapes.
Use lasers and mirrors to move the spheres out of the way so JiJi can pass.
Using Data and Graphs
(Optional Objective)
Game Name
Bar Graph
Bridge
Bar Graph
Bridge Table
Double Bar
Graph
Pie Chart Fill
Chart
Game Description
Construct vertical and horizontal bar graphs for a data set given as single observations or in a table.
Read a bar graph and answer questions about the data table used to construct the graph.
Explore double bar graphs by constructing graphs from a table of data. Read a double bar graph and
fill in missing values in the data table.
Construct a pie chart from a data set given as observations or in a table.
Common Core 2015-2016 Edition
27
Fourth Grade
Multiplication Concepts
(Optional Objective)
Module 1: Multiplication Concepts
Game Name
Game Description
Bouncing Shoes
Use repeated addition within the model to determine how many of one animal are needed to fill the
given number of shoes.
How Many
Legs?
Bouncing Shoes
LI
Number Line
Multiplication
Find the correct number of shoes for each set of creatures by counting or, in later levels, multiplying.
Use multiplication within the model to determine how many of one animal are needed to fill the given
number of shoes.
Multiply whole numbers using a number line.
Module 2: Multiplication Concepts II
Game Name
Build
Expressions
Repeated
Expressions
Grid
Expressions
Complete Box
Game Description
Add and multiply whole numbers using visual models.
Interpret a multiplication expression as repeated addition.
Represent the multiplication expression as an area model on the given grid.
Use the rectangular area model to build up multiplication.
Division Concepts
(Optional Objective)
Game Name
Game Description
Equal Division
Set Split
Divide blocks into equal parts.
Fair Sharing
Determine how many boxes each creature gets, when given a description of an equal sharing
situation.
How Many
Creatures?
Fair Sharing LI
Build
Expressions
Each creature has the same number of legs. Given the total number of legs, determine the number of
creatures.
Divide a set of objects into two equal subsets.
Determine how many boxes each creature gets and how many remain in an equal sharing game.
Divide whole numbers by forming equal groups of dots.
Common Core 2015-2016 Edition
28
Fourth Grade
Algebraic Expressions and Equations
(Optional Objective)
Game Name
Game Description
Mice Island
Model a numerical addition or subtraction equation using the arrival and departure of mice from an
island. This game also introduces the commutative property.
Mice Island
Bubble LI
Fill in the missing number or operation to make the equation true. This game teaches students how to
represent situations with equations as well as addition and subtraction of one- and two-digit whole
numbers.
Tug Boat
Rearrange the boats so that the bridge will open. This game teaches addition, subtraction, and the
concept of equal amounts.
Tug Boat with
Pictures
Rearrange the boats so that the bridge will open. This game teaches addition, subtraction, and the
concept of equal amounts.
Tug Boat LI
Rearrange the numbers so that the sums on each side are the same. This game teaches addition,
subtraction, and the concept of equal amounts.
Build Expression
Add, subtract, multiply, and divide whole numbers using visual models.
Which Operation
Fill in the missing operation to make the equation true. This game teaches addition, subtraction,
multiplication, and division facts.
Temperature and Capacity
(Optional Objective)
Game Name
Game Description
Thermometer
Temperature
Learn to read the temperature on a thermometer.
Capacity
Learn how to convert between cups, pints, quarts and gallons. Practice converting liquid quantities
between different units.
Determine the temperature change by reading and comparing the temperature on two thermometers.
Common Core 2015-2016 Edition
29
Fourth Grade
Addition and Subtraction with Regrouping
(Optional Objective)
Module 1: Regrouping Concepts in Addition with 3 Digits
Game Name
Intro to
Regrouping
Regrouping with
Multipliers
Regrouping Dual
Mode
Regrouping
Symbolic Mode
Game Description
Using the petals model, add two three-digit whole numbers with regrouping in the ones or tens place.
Increase symbolism in the petals model to add two three-digit whole numbers with regrouping in the
ones or tens place.
Symbolically add two three-digit whole numbers with regrouping in the ones or tens place. Use the
petals model as support.
Symbolically add two three-digit whole numbers with regrouping in the ones or tens place.
Module 2: Reqrouping Concepts in Subtraction with 3 Digits
Game Name
Game Description
Intro to
Borrowing
Regrouping with
Multipliers
Regrouping Dual
Mode
Regrouping
Symbolic
Using the petals model, subtract two three-digit whole numbers with regrouping in the ones or tens
place.
Increase symbolism in the petals model to subtract two three-digit whole numbers with regrouping in
the ones or tens place.
Symbolically subtract two three-digit whole numbers with regrouping in the ones or tens place. Use
the petals model as support.
Symbolically subtract two three-digit whole numbers with regrouping in the ones or tens place.
Common Core 2015-2016 Edition
30
Fourth Grade
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