Math This Year

Math is split up into 8 different units. Here are the big ideas for each unit:

Unit One: Use an understanding of base-10 place value and to develop an understanding of decimals as numbers and develop and use procedures for adding and subtracting decimals.

Unit Two: Apply an understanding of place value strategies and multiplication algorithms to solve multi-digit multiplication problems in a variety of ways.

Unit Three: 
    Unit 3A Apply an understanding of place value strategies and division algorithms to represent and solve division problems in a variety of ways.

    Unit 3B
Apply an understanding of the four operations to analyze number relationships

Unit Four: 
     Unit 4A Apply an understanding of expressions and equations to develop and use formulas for perimeter and area problems involving rectangles.

    Unit 4B Select appropriate customary and metric units, strategies, and tools to solve problems involving measurement

Unit Five: 
The student applies mathematical process standards to:*represent and generate fractions to solve problems*compose and decompose fractions to add and subtract fractions with like denominators *use an understanding of benchmark fractions to estimate and evaluate reasonableness of sums and differences

Unit Six: 
    Unit 6A  Analyze geometric attributes in order to developgeneralizations about their properties.

    Unit 6B  Understand and apply characteristics of angles and angle measures.

Unit Seven:
    Unit 7A  Numerical data can be represented in a variety
of ways and can be used to solve problems. Rational number fluency is critical to being able to solve problems in everyday life that contain numerical data.

    Unit 7B  Rational number fluency is critical to being able to solve measurement and financial problems that arise in everyday life.

Unit Eight:
Rational number fluency is critical to being able to solve measurement and financial problems that arise in everyday life.

Unit One

Unit Summary: Students use understandings of base-10 place value to develop an understanding of decimals as numbers and develop procedures for adding and subtracting decimals.

Essential Questions:
 How does the base ten number system operate?
 How can numbers be represented to show the value of each digit?
 How does an understanding of place value help compare and order whole numbers and decimals?
 How can estimation help make sense of problems involving addition and subtraction?
 How is the standard algorithm for addition and subtraction similar place value strategies for addition and subtraction?
 How are addition and subtraction of whole numbers similar to addition and subtraction of decimals?
 How can strip diagrams and equations be used to represent addition and subtraction?

Vocabulary:

Place value - valor de posición 

Digit - dígito 

Whole - entero 

Billions - mil millones 

Millions - millones 

Thousands – millares/miles 

Hundreds centenas/cientos 

Tens - decenas 

Ones - unidades 

Decimals - decimales 

Hundredths - centenas 

Tenths - decenas 

Number line- recta numérica 

Position - posición 

One‐tenth - una décima 

Ten times - diez veces 

Expanded notation - forma desarrollada/ forma 

expandida/notación desarrollada 

Numerals - numerales 

Equal to - igual a 

Greater than - mayor que 

Less than - menor que 

Greatest to Least - de mayor a menor 

Least to greatest - de menor a mayor 

Add – sumar, añadir, adicionar 

Subtract – restar, sustraer, deducir 

Sum - suma, importe 

Difference -diferencia 

Estimate- estimar 

Round - redondear 

Compatible numbers - números compatibles 

Nearest 10 – más cercano a la decena 

Nearest 100 - más cercano a la centena 

Nearest 1000 - más cercano al millar 

Equation - oración numérica /ecuación 

Unknown - desconocid