Fundamental Maths Concepts Syllabus Template 2014-2015
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1
2FUNDAMENTAL MATH
CONCEPTS
2014-2015
This class encourages higher order thinking, and provides instruction in fundamental math
concepts, such as place value, the order of operations, and skills in data analysis. Much
attention is focused on students becoming fluent in math vocabulary and language. Topics are
sequenced to ensure there are no gaps in instruction. Concepts are introduced in a concrete
manner so that students are allowed to develop an understanding, then they are supported to
proceed to the more abstract application of these skills. All concepts are related to real life
experiences so that students can apply mathematical concepts to their world.
Three assessments are given throughout instruction:
Before a new concept is introduced to determine prior knowledge so that instruction can
begin at the appropriate point;
Assessment during instruction allowing for the immediate needs of the student;
Assessment at the end of instruction gives needed information to determine if the student is
ready to move on or if re-teaching is in order.
Homework is given daily so that students are supported in gaining confidence in the skill they
have just acquired and to practice that skill.
CONCEPTS:
Read and write numbers to the billions and to the thousands
Compare and order whole numbers and decimals
Add and subtract whole numbers through hundred thousands
Solve problems by using the guess and test strategy
Apply the meaning and properties of multiplication
Multiply mentally, use patterns in multiplications, and estimate products.
Multiply by 1-, 2-, and 3-digit numbers.
Solve problems by using more than one step.
Use patterns in division
Divide whole numbers and money amounts by 1- and 2-digit divisors.
Use compatible numbers to estimate quotients.
Solve problems by making a table and finding a pattern.
Add and subtract fractions and mixed numbers with like and unlike denominators, including
denominators that are not compatible.
Rename the sums and differences of two or more fractions.
Estimate sums and differences of two or more fractions.
Estimate sums and differences of mixed numbers using rounding and front-end estimation.
Use the work backward strategy to solve problems.
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