| Topic icon key | ||
eq | Equation | Each item in the topic is in the form of an equation |
id | Identify | Each item in the topic is a thing |
mi | Missing item | Each item in the topic is a statement with a missing term |
10 | Number of items | There are 10 items in this topic |
8 | Extended items | Additional questions for games and tests in this topic |
Our math topics for 5th grade learners are designed to follow closely the Common Core standards for math for 5th grade pupils.
For children aged 10 to 11, the math curriculum begins to introduce foundational concepts in algebra. Here are the key components of the math curriculum for algebra for ages 10 to 11:
Variables and Expressions: Students learn about variables as symbols that represent unknown quantities. They practice evaluating and simplifying algebraic expressions by substituting values for variables and performing basic arithmetic operations.
Patterns and Relationships: Students explore patterns and relationships in numbers and shapes. They identify and extend patterns, generalize rules, and describe relationships using algebraic language. They also apply their understanding of patterns to solve problems.
Equations and Inequalities: Students begin to work with equations and inequalities. They learn to write and solve simple one-variable equations and inequalities, both algebraically and using models or diagrams. They also interpret and analyze solutions in the context of the problem.
Function Notation: Students are introduced to function notation. They learn to represent functional relationships using symbols and understand that functions can have inputs and outputs. They explore function tables and graphs to identify patterns and make predictions.
Problem Solving: Algebraic thinking is applied to solve a variety of real-life and mathematical problems. Students analyze word problems, identify relevant information, translate situations into algebraic expressions or equations, and use algebraic strategies to find solutions. They also practice explaining their reasoning and justifying their answers.
Reasoning and Generalization: Students develop reasoning skills and make generalizations based on patterns and relationships. They practice articulating their thinking, identifying patterns, and making conjectures. They also learn to provide evidence or counterexamples to support their claims.
Graphing: Students learn basic graphing skills, including plotting points on a coordinate plane and interpreting simple graphs. They understand the relationship between algebraic expressions and their graphical representations.
The curriculum aims to develop students' algebraic thinking, problem-solving abilities, and reasoning skills. By the age of 10 to 11, students are expected to have a solid foundation in the fundamental concepts of algebra and be ready to apply their knowledge in more complex mathematical contexts.
One step addition equations
Solve the one-step addition equation to find the value of X
One step subtraction equations
Solve the one-step subtraction equation to find the value of x
One step multiplication equations
Solve the multiplication equation to find the value of x
One step division equations
Solve the one-step division equation to find the value of x
Perimeter of squares
Use the formula perimeter P = 4 x length to work out the perimeter of each square
Perimeter of rectangles
Use the formula perimeter P = 2 x (length + width) to calculate the perimeter of rectangles
Perimeter of equilateral triangles
Use the formula P = 3 x length to work out the perimeter of these equilateral triangles
Perimeter of compound shapes
Use algebra to express the total perimeter of compound shapes in terms of x
Area of squares
Calculate the area of squares using the formula area A = length L times L
Area of rectangles
Calculate the area of rectangles using the formula area A = length L x width W
Angles on straight line: missing angle
Find the missing angle using the angles on a straight line rule
Angles around point: missing angle
Find the missing angle using the angles around a point rule
Angles in triangle: missing angle problems
Find the missing angle using the rule that angles in a triangle sum to 180 degrees
Angles in a quadrilateral
Find the missing angle using the rule that angles in a quadrilateral sum to 360 degrees
Angles on a straight line: form an equation
Express the angles on a straight line missing number problem algebraically by forming an equation
Angles around a point: form an equation
Express the angles around a point missing number problem algebraically by forming an equation
Angles in a triangle: form equation
Express the angles in a triangle sum to 180 missing number problem algebraically by forming an equation
Composite shapes: missing lengths
Identify the missing length X for each of these 2-dimensional composite shapes
Coordinates of point P
Using the graph identify the x or y coordinate of the point labelled P
Collect up like terms
Use addition and subtraction to collect up like terms
Expand a simple bracket
Use multiplication to expand a bracket then simplify the expression
Multiply and simplify
Use multiplication to expand and then collect like terms
Generate linear sequences
Identify the sequence that is generated by the given formula
Term to term rule
Identify the correct term-to-term rule for the sequence
Position to term rule
Identify the correct position-to-term rule for the given sequences
Two variables
Identify the pair of numbers that satisfy a statement
A topic is selected at the beginning of a session at Free Math Games and will be remembered when you move between games or activities. The math for the topic is carefully constructed to match the elementary math level commonly taught in US schools. This means that you as an elementary pupil should see similar math problems to those you are seeing at school (if you are at school) for any particular subject. Please let us know if that is not the case.
See the help box below for instructions on choosing a topic here at Free Math Games.
UXO * Duck shoot * The frog flies * Pong * Cat and mouse * The beetle and the bee
Rock fall * Four in a row * Sow grow * Choose or lose * Mix and match
Click on the "1. Start" button in the top navigation bar - that brings you to this elementary level topic selection page. On the topic selection page you will see that the topics are divided up:
Since you are currently within the elementary section of Free Math Games you will see the elementary topics. The elementary grades will have loaded. Choose your grade. The broad categories available will load. Click on a category to see the available sub-categories and topics.
For example, if you choose fifth grade, then the category: "Fractions" you will be offered a choice of fraction sub-categories and topics suitable for Grade 5. Click on each sub-category to view the available topics.
When you click on the name of a topic, the topic will load into the lesson page (once a topic has loaded it will be available for all activities and will not have to be downloaded again) and the lesson start page will be displayed. You can choose to do the lesson or jump immediately to the games using that topic.
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