5th Grade Mathematics

Fifth Grade Benchmarks - Numbers & Operations

Math Olympics - Answer 20 multiple choice questions correctly to win the Math Olympics. Topics range from basic computation and general math knowledge to word problems with percentages, ratios, and fractions.

Rainforest Maths - tons of great math resources for grades K-6. The interface of the whole site is also colorful, inviting and age-appropriate. Also, many of the activities/exercises include assorted visuals, and there is a good variety of questions within each topic.

5.1.spi.1.

Read and write numbers from millions to thousandths;

 
5.1.spi.2. Connect symbolic representations of proper and improper fractions to models of proper and improper fractions;  
5.1.spi.3. Represent whole numbers and two-place decimals in expanded form.  
5.1.spi.4.
Add, subtract, multiply, and divide whole numbers (multipliers and divisors no more than two-digits).

Space Racer X - Use your multiplication skills to navigate through the solar system. Watch out for asteroids!

Balloon Invaders - Pop the balloons matching the multiplication facts. Use arrow keys & space bar.

Balloon Invaders Addition/Subtraction - Same as above - addition and subtraction facts.

5.1.spi.5. Identify the place value of a given digit from millions to thousandths;  
5.1.spi.6. Represent, compare, and order whole numbers and decimals to thousandths;  
5.1.spi.7. Use estimation to select a reasonable solution to a whole number computation;  
5.1.spi.8. Add, subtract, and multiply decimals;  
5.1.spi.9. Solve one- or two-step real-world problems involving addition, subtraction, and/or multiplication of whole numbers and decimals;

Grand Slam Math - Choose from Level 1 (addition/subtraction) or Level 2 (multiplication/division) and solve the word problems.

Word Problems with Katie & Arlo - Choose from Level 1 (addition/subtraction) or Level 2 (multiplication/division) and solve the word problems.

5.1.spi.10.

Represent numbers as both improper fractions and mixed numbers;

 
5.1.spi.11. Compare and order fractions using the appropriate symbol (<,>,=);  
5.1.spi.12. Add and subtract commonly used fractions.  
5.1.spi.13.

Generate equivalent forms of commonly used fractions, decimals, and percents (e.g., 1/10, 1/4, 1/2, 3/4);

Fractions and Percent Matching Game - Practice matching fractions to percent with this concentration game.
5.1.spi.14. Multiply a fraction by a multiple of its denominator (denominator less than or equal to 10) (3)  


 

Fifth Grade Benchmarks - Algebra

5.2.spi.1.

Extend numerical patterns;

 
5.2.spi.2. Extend geometric patterns.  
5.2.spi.3.

Apply basic function rules;

 
5.2.spi.4.

Connect open sentences to real-world situations;

 
5.2.spi.5. solve open sentences involving addition, subtraction, multiplication, and division.  
5.2.spi.6. Generalize numerical patterns using a variable;  
5.2.spi.7. Select an equation that represents a given mathematical relationship;  
5.2.spi.8.

extend rate charts to solve real-world problems.

 

Fifth Grade Benchmarks - Geometry

5.3.spi.1.

Identify lines, line segments, rays, and angles;

 
5.3.spi.2.

Identify lines of symmetry in two-dimensional geometric figures.

 
5.3.spi.3.

Identify two- or three-dimensional shapes given defining attributes;

Polygon Matching - Concentration game - match the shape to its name.
5.3.spi.4. Use spatial reasoning to predict the result of sliding, flipping, or turning a two-dimensional shape;  
5.3.spi.5.

Locate and specify a point in Quadrant I of a coordinate system.

 
5.3.spi.6. Classify geometric figures using properties;  
5.3.spi.7.

Use spatial reasoning to identify the three-dimensional figure created from a two-dimensional representation (net) of that figure (i.e., cube, rectangular prism, pyramid, cone, or cylinder).

 

 

Fifth Grade Benchmarks - Measurement

5.4.spi.1.

Read temperature using Fahrenheit and Celsius scales;

 
5.4.spi.2.

Use a ruler to measure to the nearest centimeter and 1/4 inch;

 
5.4.spi.3. Use estimation to determine if a length or volume measurement is reasonable;  
5.4.spi.4. Solve real-world problems involving addition and subtraction of measurements.  
5.4.spi.5.

Select appropriate standard units to measure length, perimeter, area, capacity, volume, weight, time, temperature, and angles;

 
5.4.spi.6. Connect simple units of measurement within the same system of measurement;  
5.4.spi.7. Use strategies to estimate perimeter and area of rectangles;  
5.4.spi.8.

Solve real-world problems involving elapsed time.

 
5.4.spi.9. Apply formulas to find the area of parallelograms and triangles;  
5.4.spi.10.

Solve real-world problems involving perimeter and area of rectangles.

 

 

Fifth Grade Benchmarks - Data Analysis & Probability

5.5.spi.1.

Represent data using bar graphs and pictographs;

 
5.5.spi.2. Interpret data displayed in bar graphs and pictographs.  
5.5.spi.3.

Determine the median of a data set;

 
5.5.spi.4. Determine the mode of a data set;  
5.5.spi.5. Determine the most likely, least likely, or equally likely outcomes in simple experiments;  
5.5.spi.6. Represent the likelihood of an event using a fractional number from zero to one.  
5.5.spi.7. Determine the mean of a data set;  
5.5.spi.8.

Make predictions based on data.