The teaching and learning of mathematics begins in a math rich environment. The activities, tasks, and discourse provide a framework for the development of mathematical power in all learners. Mathematical power (NCTM, 2000) is unmistakable in learners that exhibit conceptual and procedural understandings. It is evident in learners that can communicate mathematically. Mathematical power is apparent in learners who can reason logically, problem solve, and exhibit a disposition to persevere with real-life problem-solving situations.
The Central Bucks School District math curriculum aims for mathematical power in all students and addresses the Pennsylvania and Central Bucks Mathematics Standards.
Our program, Math in Focus, helps students build a solid conceptual understanding through a focus on problem solving. The strategic, articulated sequence of topics are developed in depth to mastery. Students learn the "why" and the "how" through instruction. Math in Focus consistently employs a concrete-pictorial-abstract progression. Clear and engaging visuals that present concepts and model solutions allow all students to gain a strong conceptual understanding.
Math in Focus addresses topics in greater depth at each level. Knowledge is built carefully and thoroughly with both multi-page lessons and multi-day lessons. Time is built into the program to develop understanding with activities, as well as ample scaffolded, guided learning with every lesson and extensive skills practice. Content is focused on building foundations for number, operations, algebraic thinking, measurement, and geometry.
5th Grade Mathematics
· Find the factors of a number.
· Know place value to billions, trillions.
· Know place value to hundredths, thousandths.
· Determine whether number sentences are true or false.
· Understand the function and placement of parentheses in number sentences.
· Convert between fractions, decimals, mixed numbers, and percents.
· Find common denominators.
· Write and solve number sentences with variables.
· Rename numbers written in exponential notation.
· Compare, order, add, and subtract integers and fractions.
· Round decimals to a given place.
· Measure to nearest 1/16 of an inch.
· Apply and explain problem solving strategies.
· Write algebraic expressions to represent situations.
· Use formulas to find areas of rectangles, polygons, circles, and bases of prisms.
· Distinguish between circumference and area of a circle.
· Understand the concepts of area and volume of a figure.
· Plot ordered pairs on a one-quadrant coordinate grid.
· Identify and use maximum, minimum, median, mode, and mean for a data set.
· Interpret mystery line plots and graphs.
· Understand and use tree diagrams to solve problems.