Math- Third 9 weeks 

Fractions

Geometry

Fractions-

I can express whole numbers as fractions.

I can use objects and pictures to name and write mixed numbers.

I can recognize fractions equivalent to whole numbers.

I can use objects and pictures to name and write mixed numbers as improper fractions. 

I can use visual fraction models to explain why one fraction is equivalent to another.

I can show that even though the number and size of the parts of two fractions may differ, the fractions themselves are the same size.

I can generate and recognize equivalent fractions.

I can explain that comparing 2 fractions must refer to the same whole.

I can compare 2 fractions by reasoning about their size. 

I can compare 2 fractions by creating equivalent fractions with a common denominator.

I can order fractions using <, >, and = and justify the comparison. 

I can find all factor pairs for whole numbers from 1-100.

I can explain the relationship between factors and multiples.

I can decide whether or not one number from 1-100 is a multiple of another one-digit number.

I can add fractions that have common denominators.

I can subtract fractions that have common denominators.

I can decompose a fraction into a sum of fractions having common denominators.

I can show that when I add or subtract fractions, I am actually combining or taking apart pieces of a whole. 

I can use fraction models and equations to add fractions with common denominators in real-world problems.

I can use fraction models and equations to help me subtract fractions with common denominators in real-world problems. 

Geometry-

I can use tools and technology to draw parallelograms, rhombi, and trapezoids.

I can describe and identify parallelograms, rhombi, and trapezoids.

I can draw lines of symmetry on a two-dimensional figures.

I can recognize a line of symmetry on a two-dimensional figure.

I can identify figures that have lines have symmetry.

I can show that angles are shapes which are made when two rays have the same endpoint.

I can use tools and technology to draw rays, angles, perpendicular, and parallel lines.

I can describe and identify rays, right, acute, and obtuse angles, and perpendicular and parallel lines.

I can find rays, angles, perpendicular, and parallel lines in two-dimensional shapes.

I can classify triangles as right, acute, or obtuse.

I can classify quadrilaterals based on the presence or absence of parallel and perpendicular lines and by the presence or absence of right, acute, or obtuse angles.

FRACTIONS

4.NS.3 Express whole numbers as fractions and recognize fractions that are equivalent to whole numbers. Name and write mixed numbers using objects or pictures. Name and write mixed numbers as improper fractions using objects or pictures.

 4.NS.4 Explain why a fraction, a/b, is equivalent to a fraction, (n × a)/(n × b), by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. [In grade 4, limit denominators of fractions to 2, 3, 4, 5, 6, 8, 10, 25, 100.] 

4.NS.5 Compare two fractions with different numerators and different denominators (e.g., by creating common denominators or numerators, or by comparing to a benchmark, such as 0, 1/2, and 1). Recognize comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions (e.g., by using a visual fraction model).

4.NS.8 Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number.

4.C.5 Add and subtract fractions with common denominators. Decompose a fraction into a sum of fractions with common denominators. Understand addition and subtraction of fractions as combining and separating parts referring to the same whole. 4.C.6 Add and subtract mixed numbers with common denominators (e.g. by replacing each mixed number with an equivalent fraction and/or by using properties of operations and the relationship between addition and subtraction).

4.AT.5 Solve real-world problems involving addition and subtraction of fractions referring to the same whole and having common denominators (e.g., by using visual fraction models and equations to represent the problem).

GEOMETRY

4.G.1 Identify, describe, and draw parallelograms, rhombuses, and trapezoids using appropriate tools (e.g., ruler, straightedge and technology). 

4.G.2 Recognize and draw lines of symmetry in two-dimensional figures. Identify figures that have lines of symmetry. 

4.G.3 Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint. 

4.G.4 Identify, describe, and draw rays, angles (right, acute, obtuse), and perpendicular and parallel lines using appropriate tools (e.g., ruler, straightedge and technology). Identify these in two-dimensional figures. 

4.G.5 Classify triangles and quadrilaterals based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles (right, acute, obtuse).

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