CONTENT TYPE
SUBJECT
- Number Sense (17)
- Addition (8)
- Multiplication (32)
- Division (38)
- Fractions (73)
- Fractions Operations (68)
- Decimals (116)
- Read And Write Decimals (31)
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Compare Decimals
(22)
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Order Decimals
(10)
- Round Decimals (12)
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Convert Decimals To Fractions
(5)
- Decimal Operations (40)
- Geometry (32)
- Measurement (24)
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Algebra
(23)
- Word Problems (18)
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 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.
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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.
Expressions And Equations Skills
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Order Of OperationsSimplifying Expressions with Two Operations Game
This exciting math game helps kids simplify expressions with two operations while practicing the PEMDAS strategy. Students tackle fun problems that enhance their understanding of algebraic concepts. By engaging in this activity, young learners will boost their skills in writing and interpreting numerical and algebraic expressions. Solidify your math knowledge today!
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Order Of OperationsEvaluating Expressions with Two Operations Game
This interactive game lets your child dive into the world of algebra by evaluating expressions with two operations. Kids will simplify and solve numerical expressions, enhancing their understanding of algebraic concepts. With fun challenges, your child will learn to write and interpret both numerical and algebraic expressions. Perfect for making math practice enjoyable!
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Order Of OperationsEvaluating Expressions with 2 or More Operations Game
Explore the world of algebra with this fun game focused on evaluating expressions with multiple operations. Kids will practice using the PEMDAS strategy to simplify complex expressions and build strong math skills. Engage with interactive problems to boost confidence in solving algebraic expressions and interpret numerical data. Perfect for budding mathematicians!
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Order Of OperationsSimplifying Expressions with 2 or More Operations Game
Help your child conquer the order of operations with this fun game. They'll tackle expressions with multiple operations and brackets, turning confusion into clarity. The game offers a series of problems designed for effective learning, focusing on simplifying and evaluating numerical expressions. It's a great way to practice and improve algebra skills. Start your math journey today!
All Algebra Skills
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Expressions And EquationsMissing Numbers in Addition Statement Game
This engaging game lets kids practice decimal addition by finding missing numbers in math sentences. Students will analyze options and select the right answer, boosting their decimal arithmetic skills. Perfect for building confidence in math, this game turns learning into an adventure. Watch your child enjoy solving problems while mastering decimals!
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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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Expressions And EquationsMissing Numbers in Subtraction Statement Game
In this engaging game, kids practice finding missing numbers in subtraction sentences with decimals. Perfect for boosting math confidence, the game helps kids apply their understanding of decimal arithmetic in a fun way. Your child will enjoy solving math puzzles while strengthening their subtraction skills. A great way to master decimals and build a strong math foundation!
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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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Expressions And EquationsForming Algebraic Expressions Game
Step into the world of algebra with this exciting game! Kids will practice forming algebraic expressions and matching them to numerical equivalents. This game encourages problem-solving and analytical thinking as players choose the correct answers from multiple options. A fun way to explore algebraic concepts and boost math skills. Perfect for young math enthusiasts!
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Expressions And EquationsForming Numerical Expressions Game
Explore the fun of algebra with this interactive game! Kids will tackle well-crafted problems, learning to turn math statements into numerical expressions. By choosing the correct options, they'll grasp key algebra skills and boost their confidence in math. Perfect for young learners eager to dive into the world of numbers and expressions!
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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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Expressions And EquationsModeling Word Problem Game
This exciting math game helps kids write numerical expressions from word problems, tackling common math misconceptions. Through active participation, your child will gain confidence and fluency in algebraic expressions. Perfect for fifth graders, this game nurtures a love for math while boosting problem-solving skills. Let the learning adventure begin!
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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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Expressions And EquationsEvaluating Algebraic Expressions with One Operation Game
This engaging math game introduces kids to the world of algebra, focusing on evaluating expressions with one operation. Players will analyze and choose the correct answer from multiple options, strengthening their understanding of algebraic expressions. Perfect for young mathematicians eager to grasp the basics of algebra in a fun and interactive way.
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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!
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Number PatternsIdentifying the Rule of the Pattern Game
In this engaging math game, young mathematicians will analyze number patterns to identify the rules that govern them. Players will solve problems by recognizing expressions that describe given patterns, boosting their algebra skills. Perfect for those who love exploring patterns and relationships, this game makes learning math fun and interactive. Start playing today!
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Expressions And EquationsEvaluating Algebraic Expressions with Two Operations Game
Solve algebraic expressions with two operations in this engaging math game! Perfect for young mathematicians, it offers a fun way to practice and understand algebra fundamentals. Tackle problems of varying difficulty, learn to evaluate expressions, and build essential math skills with every play session. A great tool for mastering algebra concepts!
Why is Algebraic Thinking Important?
1. Algebraic thinking provides the foundation for children to move beyond the specific computational skills to the general manipulation of algebra symbols. For example:
2. Algebraic thinking is to explore, observe, predict and understand patterns.
a. Repeating and growing patterns can be found in numbers. For example:
1, 2, 1, 2, ___, ___, ___
1, 3, 5, 9, ___, ___, ___
1, 3, 6, 10, 15, 21, ___, ___, ___
b. Patterns are a vehicle that enables children to make sense of the world around them.
Examples: Rhythmic patterns, seasons, phases of the moon
c. Using patterns to solve algebra problems is an extremely powerful tool for making connections in mathematics. Examples:
Doubles: 2 + 2 = 4
Doubles Plus One: 2 + 3 = 5
Skip Counting 3, 6, 9, 12, 15, 18, ...
Function Machines
3. Algebraic thinking is fundamental to functioning in business, industry, science, technology and daily life.
Algebra Games and Activities for 5th Graders
Math games and problem-solving activities are essential for children to enjoy and explore the subject. Educational games provide repetitive practice and multiple approaches to solve math problems. Fun math activities for kids are also very engaging. Constructing the design using manipulatives and math aids is critical for several reasons. Students link patterns to spatial thinking and algebraic geometry. Visual representations help to develop abstract thinking. Furthermore, students require a concrete representation in order to make sense of the pattern Following are some math activities to learn basic algebra and abstract algebra in an entertaining and engaging way in 5th grade math:
GROWING WEAVE DESIGNS ACTIVITY
In this mathematics activity, children investigate the pre algebra concept of growing patterns by modeling the growth of a design, using algebra tiles or interlocking cubes. They represent growth with concrete materials and they generate patterns (such as 4, 8, 12, 16, … and 1, 4, 9, 16, 25, …)
They record patterns and generalize pattern rules using words to describe relationships. They represent the patterns in different ways, using tables, diagrams, graphs, and manipulatives. Provide children with different colored papers and let them weave them to create different designs. Children should be able to recognize and represent the math found within their weave designs. This will help children in writing algebraic expressions to represent the designs created and then solving algebraic expressions for values of the variables. Prior to this learning activity, students should have had some experience with representing patterns using charts, diagrams, graphs, and concrete materials.
We can show the growth pattern by using tiles of two different colors. In the first image, a blue tile represents the design at its starting point. In the second image, black tiles show the growth of the design that has resulted. In the third image, the black tiles are now surrounded by blue tiles, representing the next growth stage. The pattern alternates, with each color surrounding the shape in turn. When modeling the pattern with tiles, you do not need to start over again to show each growth stage – just continue building the previous stage.
The weave design grows in a number of interesting ways:
• The pattern generated by the number of blue color tiles is 1, 1, 9, 9, 25, 25, … . This is a repeating and growing pattern that can be made by squaring the odd numbers and repeating each term twice.
• The black color tiles pattern is represented by the squares of even numbers.
• The additional tiles needed to complete each stage are represented by the multiples of 4 (4, 8, 12, …).
• Counting tiles in the rows (or columns) gives the pattern 1 + 3 + 1 for stage 2, 1 + 3 + 5 + 3 + 1 for stage 3, and so on.
• The rule for successive stages is: stage number squared plus (stage number minus 1) squared will give the total number of tiles.
Let students explore the activity more by asking algebra questions like:
• How might you describe the pattern to someone who can’t see it?
• How many tiles of each color are you adding?
• Predict how many tiles you’ll need for stage 4.
• Did you notice how much the total number of tiles increases from stage to stage?
• Do you think you have enough tiles to complete stage 7?
Children might look at the overall pattern as the number of tiles increases. Encourage children to find the difference between the totals in order to discover the number of tiles added each time. When recording the differences, they may also notice that the pattern increases by multiples of 4 (4 is added first, then 8, then 12 then 16, and so on).
This is the design completed to the end of stage 7:
There are 49 blue tiles and 36 black tiles for a total of 85 tiles. Some students may notice that there are 7 blue tiles along one edge and that this is the 7th stage, for a total of 7 X 7 or 49 blue tiles.
Some kids may need to use algebra calculator to help them discover patterns such as the difference or sum of different colors of tiles. Some students may complete the growth sequence but not identify the pattern of colored tiles. They would benefit from deconstructing the pattern and assembling the tiles into arrays.
Extension to this activity can be to ask kids to use the rule they have discovered to find out the number of tiles in stage 20 without having to extend the chart or using the manipulatives. Solving this new problem will help to deepen their understanding of the pattern.
A variation on the design growth pattern activity is to provide kids with tiles of a third color and ask them to add tiles in this color to the existing weave patterns to create squares. Ask them to model the first three stages, just as they did in the original design growth activity. They should record their results in a table and then look for patterns and develop algebra rules for sequences.
Algebra worksheets asking exploratory questions or plotting graphs for all stages of each color can be provided along with this learning activity to provide more algebra practice problems to kids. For example:
BALANCING ACT ACTIVITY
In this learning activity, kids explore the concept of equality and variables. In the context of a literature connection, students use symbols and letters to represent the masses of different animals and to investigate relationships and express them algebraically. Students identify relationships between the masses of the animals and write math equations that represent balanced tug-of-war teams. Solving algebraic equations is also achieved through this activity.
Prior to this learning activity, children should have had some experience in using variables (symbols or letters) in algebraic expressions, and in modeling with concrete materials.
Ask kids to brainstorm ways they could represent each animal without having to draw each animal. They may suggest using letters, shapes, or graphics.
Their responses may include:
Next, pose the problem for children:
How many different ways can the animals combine on either side of the teeter totter to make the teeter totter balance if you have a fox, 4 turtles, and 6 squirrels?
Deeper learning can be achieved by doing pre algebra worksheets, algebra word problems, and most importantly by asking exploratory questions throughout the activity
Following are the different ways in which children can present their thoughts on this activity
Help kids understand it by rearranging the animals. Write the following equation on the board.
We know this equation is true because we are given that F= T + T + T + T. Adding a squirrel (S) to both sides maintains the balance. Now rearrange the letters on each side of the equation, as follows:
Ask kids to consider whether the new algebra equations are true. Let them rearrange the letters to create other equations. Once they are comfortable with rearranging animals and letters, let them balance equations with numbers. This will help translating algebraic expressions from symbols to numbers. Write the number 14 on a sheet and then ask: “What numbers could I add to get 14?”
Draw a balance scale on the paper and write 1 + 13 on one side. Then ask, “What could I put on the other side to create a balance?”
Encourage them to see various possibilities to solve the equation and also that they can use more than two addends (e.g., 1+ 3+ 10) and that they can use multiplication, division, or subtraction to create an infinite number of possibilities. Post this activity children should be able to identify the unknown variables or quantities:
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