Grade 5 Mathematics Curriculum

K-5 Mathematics
Honors Mathematics

Trimester 1

Concepts and Content

As students study Algebraic Thinking, they will be able to use variables to represent unknown quantities in whole number sentences and to describe general patterns. They will identify and describe relationships between quantities where one quantity increases as the other decreases, or vice versa. 

Help at Home

• Have your child practice basic multiplication and division facts 1-12.  Students need to be accurate and fluent! 
• Point out examples of how decimals are used in newspapers, magazines, radio, and television.
• Compare prices and quantities for different brands of items in the grocery store. Which costs less per unit of measure?
• Use a map to estimate the mileage for a trip.  Estimate the cost of fuel needed to complete the trip.
• Click here to review background information for selected Trimester 1 Units.

Trimester 1 Honors

Concepts and Content

Students will represent a problem and its solution by working backwards and by using logic charts.

Students will estimate reasonable answers using a variety of strategies including compatible numbers and high and low range.

Students will demonstrate an understanding of exponents, square roots, prime numbers and order of operations.

Students will demonstrate an understanding of fractions and how they relate to each other and to whole numbers using concrete models, drawings, and mathematical symbols.

Students will demonstrate an understanding of the relationship between mixed numbers and improper fractions.

Students will add and subtract fractions with like and unlike denominators.

Students will add and subtract mixed numbers.

Help at Home

• Work with your child in his/her acquisition of multiplication and division facts up to twelve.
• Discuss real life scenarios where fractions and mixed numbers are used. For example highlight situations involving adjusting a recipe that would require adding and subtraction fractions.
• Share multiple pizzas with your family and have your child determine what fraction of the pizzas is a fair amount for each person.
• Investigate various online sites that offer games involving fractions or order of operations such as http://matti.usu.edu/nlvm/nav/category_g_2_t_1.html or http://www.coolmath4kids.com/arithmetic24/index.html
• Play games such as the 24 Game.
• Have your child record in minutes their activities for the first hour of their day. Use these minutes to compute the fractional part of the hour that is spent on each activity.

Trimester 2

Concepts and Content

Students will write and name common fractions as a part of a whole or as part of a collection.

Students will convert between mixed numbers and improper fractions.

Students will compare and order fractions, whole numbers and mixed numbers including fractions with like and unlike denominators.

Students will express fractions in simplest form.

Students will demonstrate mastery of addition and subtraction of fractions using like and unlike denominators.

Students will demonstrate mastery of addition and subtraction of mixed numbers.

Students will recognize and use common fraction and decimal equivalence.

Help at Home

• Continue Let your child help make a batch of cookies in which the recipe will need to be doubled or decreased.
• After baking the cookies, divide the cookies according to a similar plan listed below:

1/8 to Grandma
1/4 to your neighbor
1/2 to the teacher
1/16 to your best friend
1/16 to snack on at home

• In the Sports section of the newspaper, locate baseball batting averages or football average yards gained per down and arrange them in ascending or descending order.
• Pick a card from a deck. Record if it is black or red and record the suit. Do this 10 times. Replace the card each time. Then write what fraction of the cards drawn was red? What fraction was black?  Hearts? Spades? 
• Lay down two cards from the deck side by side. Determine what fraction can be made using these two numbers. If an improper fraction can be made write it as a mixed number. If the fraction can be written in lowest terms, be sure to do so.
• Click here to review background information for selected Trimester 2 units.

Trimester 2 Honors

Concept and Content

Students Students will be able to read, write, compare and order decimals, fractions and percents.

Students will be able to compute accurately with fractions and decimals.

Students will see the relationship between fractions, decimals, and percents. They will use various strategies and activities including, but not limited to:

• Modeling
  • Grids
  • Centiwheels
  • Meter sticks
  • Base Ten blocks
• Estimation
• Simulation
• Experimentation
• Games

Students will select appropriate computational strategies for solving ratio, proportion, and percent problems.

Students will conduct investigations involving rates.

Students will solve non-routine problems using a variety of strategies and resources.

Help at Home

• Work with your child in their acquisition of multiplication and division facts up to twelve.
• Play games that use strategic skills, such as chess,  Rush Hour, Mancala, and Set.
• Discuss real life scenarios where rates, ratios and proportions are used. For example compare similar items in a grocery store for content and price, how much distance can be covered at a certain mph and how many miles per gallon your vehicle yields.
• Mentally estimate sales tax, tips, and percent off in the real world.
• Cook and build with your child including measurement and proportion.
• Use logical reasoning and math skills when planning events such as parties.  Include serving sizes, total amounts, price per person, etc.
• Investigate online sites such as http://www.funbrain.com/sqr/index.html

Trimester 3

Concepts and Content

Students will use tables and graphs to demonstrate an understanding of organizing and analyzing data. 

Students will represent a problem and its solution by working backwards.

Students will solve problems using comparison of quantities, ratios, proportions, and percents.

Students will identify, describe, and compare direct relationships with constant and varying rates of change.

Students will solve one-step linear equations using inverse operations. 

Students will demonstrate mastery of division using two-digit divisors.

Help at Home

• Find the average height of the people in your family. 
• Count all the socks in the house. Divide the number by the number in your family. How many socks is the average?  Who is closest to the average?
• Do a survey in your neighborhood. How many televisions does the average family have?
• Keep a chart of the temperature at 10 different times today. Make a graph.
• Point out examples of graphical displays in newspapers, magazines, and on TV, and ask your child how to interpret the information shown.
• Roll two dice and subtract the numbers shown. Do this 30 times. What answer comes up the most?
• Roll 3 dice and multiply the numbers shown.Do this 20 times.What product comes up most often?
• Visit a restaurant. Tally the number of people sitting in each booth. What is the probability that two people will be sitting in a booth?
• Have your child estimate how many minutes he/she spends watching TV each week. Write the fraction that expresses the amount of estimated time and then convert to a decimal.
• Click here to review background information for selected Trimester 3 units.

Trimester 3 Honors

Concepts and Content

Students will be able to solve one-step linear equations using inverse operations.

Students will be able to solve non-routine problems using a variety of strategies and resources.

Students will be able to describe  graphs. They will look at relationships within the graph, extend the graph , and create new graphs.

Students will be able to describe how data collection methods can impact the nature of the data set, and will be able to propose and justify conclusions based on data.

Students will be able to determine, interpret, and apply probabilities of an event.

Students will be able to understand what it means for events to be equally likely and for a game or process to be fair.

Students will be able to make connections between statistics and probability and life situations.

Help at Home

• Work with your child in their acquisition of multiplication and division facts up to twelve.
• Play games that that promote logical thinking such as Backgammon, Master Mind, and Stratego.
• Discuss real life scenarios where data and probability are used. For example, discuss graphs in newspapers to see if the data is fairly represented, analyze a game to see if it is equally likely to win, and discuss the probability of an event occurring.
• Have your child create games that are fair, to be played by your family. Discuss how the game could be altered to make it unfair.
• Have your child collect data from family and friends, interpret and graph this data. Use graphing computer programs if available.
• Build patterns with toothpicks, cups, tiles, etc. Have your child extend the patterns and express them algebraically.
• Investigate various online sites that offer virtual manipulatives and games.For example http://matti.usu.edu/nlvm/nav/vlibrary.html and http://www.coolmath4kids.com