# Elementary Math

The Branch School uses Everyday Mathematics 4, developed by the University of Chicago. The program offers a broad, rich and balanced approach to mathematics and allows students to develop a depth of knowledge by building connections among concepts, procedures and applications. A carefully developed spiral strategically distributes instruction and practice throughout the units in a way to best help students develop mastery and depth of knowledge. An online program, IXL, is also utilized as a practice for supplemental math fact fluency.

## Kindergarten

Kindergarten units focus on the procedures, concepts, and applications in two critical areas. Those areas are representing and comparing whole numbers with sets of objects and describing shapes in space. Lessons in kindergarten cover the following:

• Counting and Cardinality
• Know number names and the count sequence.
• Count to tell the number of objects.
• Compare numbers.
• Operations and Algebraic Thinking
• Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
• Number Operations in Base Ten
• Work with numbers 11-19 to gain foundations for place value.
• Describe and compare measurable attributes.
• Classify objects and count the number of objects in each category.
• Geometry
• Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
• Analyze, compare, create, and compare shapes.

In first grade, Everyday Mathematics focuses on the procedures, concepts, and applications in four critical areas. Those areas include: understanding addition, subtraction, and strategies within 20, understanding whole number relationships and place value, including grouping by tens and ones, understanding linear measurement as iterating length units, and composing and decomposing geometric shapes and reasoning about the attributes of shapes. Lessons in first grade cover the following:

• Operations in Algebraic Thinking
• Represent and solve problems involving addition and subtraction.
• Understand and apply properties of operations and the relationship between addition and subtraction.
• Add and subtract within 20.
• Work with addition and subtraction equations.
• Number and Operations in Base Ten
• Extend the counting sequence.
• Understand place value.
• Use place value understanding and properties of operations to add and subtract.
• Measurement and Data
• Measure lengths indirectly and by iterating length units.
• Tell and write time.
• Represent and interpret data.
• Geometry
• Reason with shapes and their attributes.

In second grade, Everyday Mathematics focuses on the procedures, concepts, and applications in four critical areas. Those areas are understanding base-10 notation, building fluency with addition and subtraction, using standard units of measure, and describing and analyzing shapes. Lessons in second-grade cover the following:

• Operations and Algebraic Thinking
• Represent and solve problems involving addition and subtraction.
• Add and subtract within 20.
• Work with equal groups of objects to gain foundations for multiplication.
• Number and Operations in Base Ten
• Understand place value.
• Use place value understanding and properties of operations to add and subtract.
• Measurement and Data
• Measure and estimate lengths in standard units.
• Relate addition and subtraction to length.
• Work with time and money.
• Represent and interpret data.
• Geometry
• Reason with shapes and their attributes.

In third grade, students focus on the procedures, concepts, and applications in four critical areas. Those areas are having an understanding of multiplication and division and strategies within 100, understanding of fractions, especially unit fractions, understanding of the structure of rectangular arrays and area, and describing and analyzing two-dimensional shapes. The lessons in third grade address the following:

• Operations and Algebraic Thinking
• Represent and solve problems involving multiplication and division.
• Understand properties of multiplication and the relationship between multiplication and division.
• Multiply and divide within 100..
• Solve problems involving the four operations, and identify and explain patterns in arithmetic.
• Number Operations in Base Ten
• Use place value understanding and properties of operations to perform multi-digit arithmetic.
• Measurement and Data
• Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.
• Represent and interpret data.
• Geometric measurement: Understand concepts of area and relate area to multiplication and to addition.
• Geometric Measurement: Recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
• Geometry
• Reason with shapes and their attributes.

In fourth grade, students focus on the procedures, concepts, and applications in critical areas. Those areas are: understanding and fluency with multi-digit multiplication, and understanding of dividing to find quotients with multi-digit dividends, understanding of fraction equivalence, addition and subtraction of fractions with like denominators, and multiplication of fractions by whole numbers, understanding that geometric figures can be analyzed and classified based on their properties. The lessons in fourth grade address the following:

• Operations and Algebraic Thinking
• Use the four operations with whole numbers to solve problems.
• Gain familiarity with factors and multiples.
• Generate and analyze patterns.
• Number and Operations in Base Ten
• Generalize place value understanding for multi-digit whole numbers.
• Use place value understanding and properties to perform multi-digit arithmetic.
• Number and Operations – Fractions
• Extend understanding of fraction equivalence and ordering.
• Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
• Understand decimal notation for fractions..
• Measurement and Data
• Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
• Represent and interpret data.
• Geometric measurement: Understand concepts of angle and measure angles.
• Geometry
• Draw and identify lines and angles, and classify shapes by properties of their lines and angles.