CONTENT TYPE
SUBJECT
- Number Sense (44)
- Addition (42)
- Subtraction (28)
- Multiplication (63)
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Multiplication Strategies
(5)
- Times Tables (10)
- Multiplication Properties (6)
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Multiply By Multiples Of 10
(5)
- Multi-Digit Multiplication (36)
- Division (81)
- Fractions (126)
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Fractions Using Models
(12)
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Fractions On A Number Line
(7)
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Compare Fractions
(13)
- Equivalent Fractions (25)
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Mixed Numbers As Improper Fractions
(4)
- Fractions Operations (60)
- Decimals (81)
- Read And Write Decimals (31)
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Compare Decimals
(16)
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Order Decimals
(12)
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Round Decimals
(9)
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Convert Decimals To Fractions
(7)
- Decimal Operations (8)
- Geometry (39)
- Measurement (61)
- Money (10)
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Algebra
(25)
- Word Problems (24)
Number Patterns Skills
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Number PatternsFilling in the Correct Number Using Multiplicative Patterns Game
Explore the exciting world of algebra with a fun game on multiplicative patterns! Kids will solve engaging problems, create and extend number patterns using given rules, and enhance their math skills in a playful way. Watch your child become confident in algebra as they tackle challenges designed to nudge them towards mastery. Perfect for young math enthusiasts!
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Number PatternsFilling in the Correct Number Using Subtractive Patterns Game
This engaging game helps kids create and extend number patterns using subtractive rules. By filling in the correct numbers, children practice algebra in a fun way, enhancing their ability to generate and analyze number patterns. It's a perfect blend of learning and play that makes mastering algebra concepts enjoyable. Get started today!
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Number PatternsFilling in the Correct Number Using Additive Patterns Game
Explore the world of additive patterns with this engaging game! Your child will fill in blanks to find missing numbers, boosting their algebra skills. Designed for fourth graders, this game offers a variety of problems to build confidence and understanding of number patterns. It's a fun way to practice math and develop critical thinking skills.
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Number PatternsIdentifying the Correct Pattern Game
Join this engaging math game where kids identify and extend number patterns by analyzing given options. Regular practice in this game will boost your child's confidence in solving algebra problems, both in the classroom and beyond. Ideal for young learners, it makes understanding patterns easy and fun, enhancing their ability to generate and analyze number sequences.
Factors And Multiples Skills
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Factors And MultiplesFilling in the Missing Multiples Game
Your child will dive into the world of numbers with this engaging game. They'll practice finding multiples of numbers within 100, filling in the missing ones to boost their math skills. This game simplifies the concept of multiples, making it less confusing and more fun. It's a perfect way to explore factors, multiples, and prime numbers in an exciting way!
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Factors And MultiplesSelecting the First Five Multiples of Various Numbers Game
In this exciting math game, kids will learn to find the first five multiples of various numbers using a multiplication chart. Perfect for building confidence in math, this game helps fourth graders tackle problems on multiples. With interactive models, students can record their responses and master the concepts of factors, multiples, and prime numbers effortlessly.
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Factors And MultiplesChoosing Whether True or False Game
In this exciting math game, your child will tackle true or false questions to identify multiples of numbers within 100. Perfect for clearing up common misconceptions, this game enhances understanding of factors, multiples, and prime numbers. By recalling key concepts, students will strengthen their algebra skills and build confidence in math. A fun way to master the topic!
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Factors And MultiplesChoosing the Correct Multiple Game
In this exciting math game, your child will tackle problems to find multiples of numbers up to 100. They'll choose the correct options, applying their knowledge of factors and multiples. This engaging activity builds confidence in algebra and helps students excel in both classroom and real-world scenarios. Perfect for young math enthusiasts!
Prime And Composite Numbers Skills
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Prime And Composite NumbersIdentifying the Number Which is Not a Prime Game
Let your child explore the world of numbers by identifying those that aren't prime. This fun math game strengthens algebra skills as kids learn about factors and multiples. By practicing, they become more comfortable with the concept of prime and composite numbers. Watch them grow confident in their math abilities while enjoying a challenging and rewarding experience!
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Prime And Composite NumbersIdentifying the Prime Numbers Game
Join the fun of identifying prime numbers with this engaging math game! Ideal for young learners, this game helps solidify understanding of prime numbers and boosts algebra skills. Your child will learn to differentiate between prime and composite numbers while exploring factors and multiples. A great way to practice math concepts in an enjoyable way. Get started now!
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Prime And Composite NumbersIdentifying the Type of Number Game
In this exciting math game, fourth graders will learn to identify prime and composite numbers. By answering whether a given number is prime or composite, kids will enhance their understanding of number types. This game focuses on factors, multiples, and prime numbers, offering a fun way to build algebra skills. Let your child become a number expert with this interactive learning experience!
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Prime And Composite NumbersChoosing the Prime Number Out of the Given Numbers Game
This exciting math game helps kids identify prime numbers from a set of given numbers. Perfect for practicing algebra, it clears up common misconceptions about prime numbers. Players will explore factors, multiples, and prime numbers, boosting their math skills while having a blast. Ideal for young mathematicians eager to dive into algebra!
All Algebra Skills
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Number PatternsFilling in Numbers According to the Number Pattern Game
Unlock the world of number patterns with this interactive game! Kids will identify rules and extend patterns while solving diverse problems. It's a fun way to practice algebra skills, making misconceptions disappear with regular play. Generate and analyze patterns effortlessly, and watch your math confidence grow. Perfect for young learners looking to excel in math!
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Factors And MultiplesIdentifying If True or False Game
Challenge your math skills with this exciting game! Kids will practice identifying true factors of numbers up to 100. This game helps students improve their understanding of factors, multiples, and prime numbers while having fun. It's a great way to build confidence in algebra and develop a strong foundation in math. Get ready to explore numbers and enhance your skills!
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Prime And Composite NumbersSelecting All the Prime Numbers Game
In this exciting game, kids will dive into the world of numbers by selecting prime numbers from a given set. Designed for fourth graders, it helps clear up misconceptions in math and strengthens algebra skills. Your child will learn to identify prime and composite numbers while having fun with factors and multiples. Perfect for boosting math confidence!
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Number PatternsIdentifying the Correct Rule of Pattern Used Game
Unlock the world of algebra with this exciting game! Your child will identify rules and extend number patterns, making learning math fun and lively. This engaging game helps students recall number pattern concepts, stimulating their minds as they work towards mastery. Perfect for fourth graders, it turns learning into an enjoyable adventure.
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Factors And MultiplesComplete Factor Pairs for a Number Game
This fun math game helps kids master algebra by completing factor pairs of numbers up to 100. Designed to make learning lively, it challenges young mathematicians to explore factors, multiples, and prime numbers in an interactive way. Perfect for fourth graders, this game turns math struggles into engaging learning adventures. Play and learn today!
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Number PatternsIdentifying the Pattern and Filling the Correct Number Game
In this fun math game, students tackle number pattern problems, applying their knowledge to find missing numbers. Designed for fourth graders, it boosts algebra skills by encouraging kids to identify rules and extend number patterns. With each challenge, they generate and analyze patterns, making learning interactive and enjoyable.
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Factors And MultiplesFilling in the Missing Factors Game
Unleash your child's math potential with this interactive game. Kids will fill in missing factors of numbers up to 100, reinforcing their understanding of factors, multiples, and prime numbers. This fun activity is designed to make algebra concepts easy and enjoyable for fourth graders. Watch them master math skills while having a blast!
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Number PatternsRecognizing the Pattern in the Number Sequence Game
Help your child master algebra by recognizing number patterns in this exciting game. Kids will engage in challenging tasks to identify rules and extend sequences, boosting their skills in generating and analyzing patterns. This interactive approach makes learning math fun and effective, encouraging students to become more comfortable with algebra concepts.
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Number PatternsRecognizing the Correct Pattern and Filling Accordingly Game
In this fun math game, kids will learn to recognize and fill in number patterns. By identifying rules and extending sequences, your child will gain essential algebra skills. This game targets common misconceptions and makes learning math exciting and effective. Perfect for young mathematicians eager to explore the world of patterns!
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Number PatternsGenerating Patterns from the Rule Game
Unleash the fun in learning algebra by generating number patterns using algebraic expressions. This engaging game challenges fifth graders to explore patterns and relationships, making math lively and enjoyable. Watch as your child discovers new skills while having a blast with algebra. Perfect for young math enthusiasts to dive into the world of patterns!
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Number PatternsGenerating Patterns (Addition) Game
In this exciting math game, kids will explore number patterns through addition. They'll solve problems by filling in blanks to complete patterns, honing their algebra skills. This game helps them understand patterns and relationships, making algebra fun and interactive. Perfect for sparking a love for math in your fifth grader!
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Number PatternsGenerating Patterns (Multiplication) Game
In this engaging game, kids will explore the world of algebra by analyzing and generating number patterns. They'll tackle common misconceptions with targeted practice, enhancing their understanding of patterns and relationships. This fun approach helps kids build essential math skills while enjoying the process. Get ready to master algebra concepts effortlessly!
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Number PatternsRelationship Between Two Patterns Game
Uncover the secrets of number patterns with this engaging game! Kids will analyze and find relationships between patterns, making algebra concepts more accessible. By solving various pattern-based problems, they'll strengthen their math skills and build confidence in algebra. Perfect for curious minds ready to explore the world of numbers!
Why Is Algebra Important?
Algebra is sometimes referred to as generalized arithmetic because it formalizes arithmetic relationships. Its power lies in the ways it allows us to represent relationships among quantities, to describe properties of operations (such as commutative and distributive), and to describe patterns. Basic algebra rules provide for manipulating symbols, such as simplifying and translating algebraic expressions and then solving for an unknown. Reasoning algebraically is essential to the study of other domains of mathematics, including algebraic geometry, measurement, probability, and data analyses. The algebraic reasoning is also needed in the sciences, the social sciences, and the arts. Earlier, algebra instruction was reserved for older students and focused primarily on the manipulation of algebra symbols and the solutions to basic algebra problems, but today, realizing its significance, elementary algebra is introduced to younger kids with more focus on the "big ideas" of algebra and on reasoning algebraically.
Big Ideas of Algebra
There are three big ideas of algebra to tackle. Although these big ideas of abstract algebra are explained individually, they often appear in simple algebra problems in combination.
Big Idea 1: Variables
A variable can be an object, a geometric shape, or a letter that represents a number of things. Variables are used in three ways- to represent unknowns, to represent quantities that vary, and to generalize properties.
Representing Unknowns
Unknowns are variables that don't vary! That is, they have fixed values. Variables with fixed values are used extensively in equations in the early grades, for example,3 + 2 = n and t + 3 = 7. Kids learn that the same letters or shapes in equations represent the same values.
Following is a fun activity for kids to demonstrate the same:
Children are shown two pictures. In one picture, there are two identical toy cars with a price tag of $2 for both toys. The second picture shows the same toy car and a toy dog with a price tag of$5 for both toys. This problem is their introduction to solving algebraic equations with two unknowns; the two equations are car + car = $2 and car + dog = $5. The unknowns are the price of the toy car and the price of the toy dog. Children will learn in grade 5 how to solve algebra word problems that involve first writing algebraic expressions to represent the mathematical relationships and then solving algebraic expressions for the values of the variables.
Representing Quantities That Vary
In some types of algebra equations, the variables are not fixed. The variables can assume different values. Children can be introduced to the concept of variables as 'representing varying quantities as early as the preschool level and then how to solve algebra problems in later years.
One of the best math aids to illustrate this is the following math activity:
Children are presented with two cups (call them a and b) and 10 chips. Then they are asked to find all different ways in which they can place the chips into the cups. This problem can be represented algebraically by writing a + b = 10. A and b vary because they can have lots of different values. For example, if a = 0, then b = 10; if a = 1, then b = 9; if a = 2, then b = 8; and so on. Not only do children learn that there are 11 different pairs of values that solve the equation, but they also learn that once they choose a value for a, the value of b is determined. Similarly, if they select a value for b, then the value of a is determined.
Variables that take on different values are found in all algebra formulas. Consider the formula for the perimeter of a square. In the formula p = 4s, where s is the side of the square. Now the value of s may be different for different squares.
Generalizing Properties
Children are introduced to special relationships that exist among sets of numbers under specific operations. Children are expected to learn these facts so that the computations are simplified.
If students learn that 3 + 4 = 7, then they also know that 4 + 3 = 7, because for the addition of whole numbers, when you change the order of the addends, the sum remains the same. This rule, the commutative property of addition of whole numbers, holds true for all pairs of whole numbers, so it can be represented using variables as a + b = b + a.
Using variables provides a shorthand way of describing relationships that apply to all numbers in a set.
Big Idea 2: Patterns, Relations, and Functions
Children should investigate numerical and geometric patterns and express them mathematically in words or symbols. They should analyze the structure of the pattern and how it grows or changes, organize this information systematically, and use their analysis to develop generalizations about the mathematical relationships in the pattern.
There are two different types of patterns: those that repeat and those that grow or shrink. A repeating pattern is one in which a group of elements repeats whereas a growing or shrinking pattern is one in which elements don't repeat. Rather, there is a change between successive elements, and every element in the pattern is related to the preceding element in the pattern in the same way.
An example of a growing pattern is 1,3,5,7,9, … each element in the pattern is two more than the preceding element.
An example of a shrinking pattern is 100, 90, 80, 70, ... Each element in the pattern is 10 less than the preceding element. Growing and shrinking patterns lead to generalizations and to then representation of the generalizations using variables. Children learn to describe growing and shrinking patterns in words and to predict what comes next.
The same can be taught through a fun activity for kids. Show them the following image:
Children should be encouraged to explain these patterns verbally and to make predictions about what will happen if the sequence is continued.
Fun math activities for kids like these give opportunity to engage them in thinking about how to articulate and express a generalization—"how can we talk about how this pattern works for a square of any size?" grade 4 kids should be able to predict the next element in a sequence by examining a specific set of examples. By the end of fifth grade, students should be able to generalize by reasoning about the structure of the pattern.
In intermediate algebra, kids can also investigate properties like commutativity, associativity, and distributivity of multiplication over addition. Is 3x5 the same as 5x3? Area model can help children discover these questions. For example:
Another example is to find out if 8x14 can be decomposed into 8x10 + 8x4
Another mathematics activity that can be done with kids is to show the child a pattern of constructions made from cubes like this:
In this math problem, the pattern in figure 1 shows one cube on top and one cube at the bottom, figure 2 shows one cube on top and two cubes at the bottom, figure 3 shows one cube on top and three cubes at the bottom, and so on. The child might describe the pattern by saying, "the number of cubes on the bottom is the same as the number of the figure. There is always one cube on top."
Children can use symbols to write the function that shows the relationship between the total number of cubes (let's call it t) and the figure number (let's call it n). The function would be t = n + 1.
Children also identify patterns when they complete function tables. They learn that for every input there is exactly one output. In pre algebra, kids complete function tables when the rule is given, such as "add 3." but in later grades, they not only complete function tables when the rule is given, but they also have to collect data, organize the data in a table, figure out the function, and record the function using symbols.
Big Idea 3: Proportions and Proportional Reasoning
A proportion is a special type of function in which the relationship between quantities is multiplicative. Reasoning about quantities that are related by multiplication is referred to as proportional reasoning. Proportional reasoning is encountered by kids in early years. For example, in the study of place value, students learn that 1 ten is equal to 10 ones, so they figure that 2 tens (2 x 10) is equal to 20 ones, 3 tens (3 x 10) is equal to 30 ones-each regrouping involves multiplication.
In the study of measurement, when children know that there are 4 cups in 1 quart, they can reason that there must be 8 cups (2 x 4) in 2 quarts, and 12 cups (3 x 4) in 3 quarts. In this process, the child is reasoning proportionally. When students construct equivalent fractions and when they use the key on a map to figure out actual distances between cities, they are reasoning proportionally.
Algebraic Thinking in Grade 4
In grade 4, basic algebraic ideas should emerge and be investigated because children—
- Identify or build numerical and geometric patterns;
- Describe patterns verbally and represent them with tables or symbols;
- Look for and apply relationships between varying quantities to make predictions;
- Make and explain generalizations that seem to always work situations;
- Use graphs to describe patterns and make predictions;
- Explore number properties;
- Use invented notation, standard symbols, and variables to express a pattern, generalization, or situation.
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