Elementary Mathematics - Grade SixWhole Numbers 1: Comprehension of Whole Numbers - Perform operations on whole numbers following the correct order (PEMDAS)
- Give the meaning of Exponent and Base
- Give the value of numbers involving exponents
- Interpret the PEDMAS rule correctly
- Perform two different operations on whole numbers
- with or without exponents
- with or without parenthesis or other grouping symbols
- Apply the order of operations in solving two to three-step word problems
- Solve 2-3 step word problems involving whole numbers following the steps in solving two-step problems
Rational Numbers 2: Comprehension of Decimals - Visualize thousandths and ten thousandths
- Name a decimal for a given model (region/blocks, money, number line, grid)
- Use different models to show a given decimal (region/block, money, number line, grid)
- Rename fractions whose denominators are power of 10 in decimal form
- Read and write decimals through ten thousandths
- Identify the value/place value of a digit in a given decimal
- Read decimals through ten thousandths
- Write decimals through ten thousandths in different notations
- Standard Notation
- Expanded Notation
- Scientific Notation
- Compare and order decimals through ten thousandths
- Round decimals through thousandths
3: Comprehension of Addition and Subtraction of Decimals - Add and subtract decimals and mixed decimals through ten thousandths without or with regrouping
- Estimate sums and differences of decimals and mixed decimals
- Add and subtract whole numbers and decimals
- Add and subtract decimals through ten thousandths without and with regrouping
- Add and subtract mixed decimals with regrouping
- Apply the different properties of addition to compute sums mentally
- Application of addition and subtraction of decimals
- Solve one to three-step word problems involving addition and subtraction of decimals including money following the steps in problem solving
4: Comprehension of Multiplication of Decimals - Multiply decimals and mixed decimals through thousandths without and with regrouping and with zero difficulty
- Estimate products of whole numbers and decimals
- Multiply one to three-digit factors by one to two-digit factors of whole numbers and decimals without and with regrouping and with zero difficulty
- Multiply hundredths by hundredths
- Multiply mixed decimals by mixed decimals with hundredths
- Multiply mentally decimals by 10, 100 and 1,000
- Multiply mentally decimals by .01, 0.01 and 0.001
- Apply the properties of multiplication to compute products
- Commutative property of multiplication
- Associative property of multiplication
- Distributive property of multiplication over addition
- Application of Multiplication of Decimals
- Solve word problems involving multiplication of decimals including money following the steps in solving problems
- Solve two to three-step word problems involving addition, subtraction and multiplication of decimals including money following the steps in solving two-step problems
5: Comprehension of Division of Decimals - Estimate quotients of whole numbers and decimals
- Divide
- Whole numbers (two to five digit dividends) by decimals (one to two-digit divisors)
- Differentiate between terminating and repeating from non-terminating decimal quotients
- Mixed decimals by whole numbers
- Visualize division using money as model
- Whole numbers by decimals and mixed decimals
- Mixed decimals by mixed decimals
- Divide decimals by 10, 100, 1,000 mentally
- Divide decimals by 0.1, 0.01, 0.001 mentally
- Application of Division of Decimals
- Solve word problems involving division of decimals including money following the steps in solving problems
- Write an equation to solve problems
- Solve word problems involving division of decimals including money
- Solve two to three-step word problems involving decimals including money following the steps in solving two-step problems
6: Fractions - Write the factor described involving regions, sets and numberline
- Rename fractions as decimals and vice-versa
- Form equivalent fractions
- Solve for the missing terms in a pair of equivalent fractions
- Reduce fractions to lowest terms
- Change mixed numbers to improper fractions and vice versa
- Estimate fractions close to 0, 12 or 1
- Find the least common denominator (LCD) of a set of fractions
- Compare fractions and mixed forms using
- fraction sense, visual reasoning, renaming to like forms
- cross-products method
- LCD method
- Order fractions in simple and mixed forms in ascending or descending order
7: Comprehension of Addition and Subtraction of Fractions - Visualize addition and subtraction of fractions (using concrete and visual/ pictorial models)
- Estimate sums and differences of fractions in simple and mixed forms
- Add or subtract similar fractions in simple or mixed forms without regrouping
- Add or subtract similar fractions in simple or mixed forms with regrouping
- Add or subtract dissimilar fractions in simple or mixed forms without regrouping
- Add or subtract dissimilar fractions in simple or mixed forms with regrouping
- Add mentally similar fractions using the properties of addition
- Application of addition and subtraction of fractions
- Solve word problems involving addition and subtraction of fractions in simple and mixed forms without and with regrouping following the steps in solving problems
- Solve two-step word problems involving addition and subtraction of fractions in simple and mixed forms without and with regrouping following the steps in solving two-step problems
8: Comprehension of Multiplication of Fractions - Simplify factors by cancellation method before multiplying
- Multiply fractions in simple and mixed forms
- Show that multiplying a fraction by its reciprocal is equal to 1
- Application of Multiplication of Fractions
- Solve word problems involving multiplication of numbers in mixed forms following the steps in solving problems
- Solve two to three-step word problems involving addition, subtraction, and multiplication of numbers in mixed forms following the steps in solving two-step problems
9: Comprehension of Division of Fractions - Visualize division of a whole number by a fraction; a fraction by another fraction
- Divide a fraction by a fraction
- Divides a whole number by a fraction and vice versa
- Divide mixed number by a fraction and vice versa
- Divide mixed number by a whole number and vice versa
- Application of Division of Fraction
- Solve word problems involving division of fractions following the steps in solving problems
- Solve two to three-step word problems involving all operations on fractions following the steps in solving two-step problems
10: Comprehension of Ratio and Proportion - Forms ratio and proportion for groups of objects/numbers
- Visualize the meaning of proportion
- tell whether two ratios make a proportion
- Find the missing term in a proportion
- Application of Ratio and proportion
- Set up a proportion for a given situation
- Solve word problems with:
- Direct proportion
- partitive proportion
- Inverse proportion
11: Comprehension of Percent - Gives the meaning of the elements used in solving percentage problems
- Percentage
- Ratio or Percent
- Base
- Determine the percentage, rate and base in a given problem
- Set up a proportion to solve problems
- Solve the three types of percentage problems
- Find the percentage when the rate and base are given
- Find the rate or percent when the percentage and base are given
- Find the base when the percentage or rate are given
- Compute common percentage mentally
- Solve word problems involving finding the percentage/rate/base
- Percent of increase/decrease
- Discounts
- Original Price
- Rate of Discount
- Sale Price
- Mark-up Price
- Commission
- Rate of Commission
- Total Sales
- Total Income
- Sales Tax
- Rate of Sales
- Tax
- Selling Price
- Simple Interest
Geometry 12: Comprehension of Spatial Figures - Describe different spatial figures
- Visualize the different spatial figures: cube, rectangular prism, cylinder, sphere, pyramid, cone, etc.
- Identify the different spatial figures and their functional use
- Illustrate the different spatial figures
Measurement 13: Comprehension of Surface Area - Find the surface area of cubes, prisms and cylinders
- identify the faces of a solid
- Name the unit of measure used for measuring surface area of solids
- Derive a formula for finding the surface area of:
- Application of Measurement of Surface Area:
- Solve word problems involving measurement of surface area following the steps in solving problems
14: Comprehension of Volume - Find the volume of a solid
- Name the unit of measure used for measuring the volume of solids
- Convert one cubic unit of measure to a larger or smaller unit
- Derive a formula for finding the volume of solids like:
- Application of Measurement of Volume
- Solve word problems involving measurement of volume following the steps in solving problems
15: Comprehension of Meter Reading - Read and interpret readings from:
- electric meter
- water meter
- Solve word problems involving electric and water consumptions
Graphs 16: Comprehension of Circle Graphs - Read and interpret data presented in a circle graph
- Construct a circle graph
- Organize data in a circle graph
Simple Probability 17: Simple Probability - Make simple predictions
- Tell the number of favorable outcomes/chances
Introduction to Algebra 18: Introduction to Algebra - Comprehension of Integers
- Visualize integers in their order on a number line
- Compares integers
- Order integers in increasing/decreasing order
- Expressions and Equations
- Give the meaning of expression and equation
- Differentiate expression from equation
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